analysis of a novel lattice hydrodynamic model considering density integral and backward looking effect abstract by introducing the backward looking influence and the integration form of the density difference between the front and rear vehicles an improved lattice hydrodynamic model is proposed the linear stability condition is derived by linear stability analysis the results of the linear stability analysis demonstrate that the influence of backward looking and density difference between the front and rear vehicles play a positive part in improving the steadiness of the traffic flow system the nonlinear analysis testifies that the mkdv equation can describe the propagation feature of density wave the results of numerical simulation show that the steadiness of traffic flow can be amenable to improvement effectively by considering these two factors comprehensive analysis demonstrates that the effect of the backward looking and density difference is propitious to improve traffic stability and suppress traffic congestion

assigning on ramp flows to maximize capacity of highway with two on ramps and one off ramp in between abstract in this paper we study the capacity of a highway with two on ramps and one off ramp in between by using a cellular automaton traffic flow model we investigate how to maximize the system capacity by assigning proper traffic flow to the two on ramps the system phase diagram is presented and eight different regions are observed under different conditions it is shown that in region i in which both on ramps are in free flow and the main road upstream of the upstream on ramp is in congestion assigning proper proportion of the demand to two on ramps could maximize the system capacity two critical values of the off ramp flow ratio p o f f have been observed when p o f f p o f f c 1 p o f f c 1 p o f f p o f f c 2 a higher smaller proportion of the demand should be assigned to the upstream on ramp when p o f f p o f f c 2 no demand should be assigned to the upstream on ramp an analytical investigation has been performed to calculate the critical values the analytical results are in good agreement with the simulation ones

tdgl and mkdv equations for jamming transition in the lattice models of traffic abstract the lattice models of traffic are proposed to describe the jamming transition in traffic flow on a highway in terms of thermodynamic terminology of phase transitions and critical phenomena they are the lattice versions of the hydrodynamic model of traffic two lattice models are presented one is described by the differential difference equation where time is a continuous variable and space is a discrete variable and the other is the difference equation in which both time and space variables are discrete we apply the linear stability theory and the nonlinear analysis to the lattice models it is shown that the time dependent ginzburg landau tdgl equation is derived to describe the traffic flow near the critical point a thermodynamic theory is formulated for describing the phase transitions and critical phenomena it is also shown that the perturbed modified korteweg de vries mkdv equation is derived to describe the traffic jam

two velocity difference model for a car following theory abstract in the light of the optimal velocity model a two velocity difference model for a car following theory is put forward considering navigation in modern traffic to our knowledge the model is an improvement over the previous ones theoretically because it considers more aspects in the car following process than others then we investigate the property of the model using linear and nonlinear analyses the korteweg de vries equation for short the kdv equation near the neutral stability line and the modified korteweg de vries equation for short the mkdv equation around the critical point are derived by applying the reductive perturbation method the traffic jam could be thus described by the kdv soliton and the kink anti kink soliton for the kdv equation and mkdv equation respectively numerical simulations are made to verify the model and good results are obtained with the new model

vers une decomposition de jordan des blocs des groupes reductifs finis abstract let g be a reductive algebraic group over an algebraic closure of a prime field f p defined over f q with frobenius endomorphism f let g f be the subgroup of rational points let l be a prime number assume that l is different from p if g f is in duality with g f then by a theorem of m broue and j michel m broue j michel blocs et series de lusztig dans un groupe reductif fini j reine angew math 395 1989 56 67 for any l bloc b of g f there exists a unique g f conjugacy class s of l semi simple elements such that some irreducible representation of b is in the rational lusztig s series associated to s if s 1 b is said to be unipotent if g is not connected with identity component g define the unipotent l blocs of g f as the l blocks that cover some unipotent l bloc of g f assuming l is good for g we construct from g f and s some reductive algebraic group g s f defined over f q and a one to one map from the set of l blocks of g f with associated class s onto the set of unipotent l blocks of g s f such that if b corresponds to b then there is a significant height preserving one to one map from the set of irreducible representations irr b onto the set irr b the respective defect groups of b and b are isomorphic the associated brauer categories are equivalent one do not assume that the center of g is connected the class of s may be isolated in g

on a theorem of shintani abstract let be an irreducible character of gd gln f qd invariant under the automorphism of gd induced by the field automorphism f qd f qd x xq and let e be a divisor of d by a theorem of shintani there exists an extension e of to gd e whose shintani descent to ge is up to a sign e an irreducible character of ge it is shown in this paper that e may always be chosen such that e 1 with this particular choice e is the restriction of 1 our methods rely on the work of digne and michel on deligne lusztig theory for nonconnected reductive groups

maass cusp forms abstract it is shown that under certain standard assumptions such as extended riemann hypotheses the scattering matrix s for generic sl 2 r is unexpectedly of order 2 this leads to the conjecture that the generic cofinite has very few maass cusp forms

characteristics of vehicular traffic flow at a roundabout we construct a stochastic cellular automata model for the description of vehicular traffic at a roundabout designed at the intersection of two perpendicular streets the vehicular traffic is controlled by a self organized scheme in which traffic lights are absent this controlling method incorporates a yield at entry strategy for the approaching vehicles to the circulating traffic flow in the roundabout vehicular dynamics is simulated and the delay experienced by the traffic at each individual street is evaluated we discuss the impact of the geometrical properties of the roundabout on the total delay we compare our results with traffic light signalization schemes and obtain the critical traffic volume over which the intersection is optimally controlled through traffic light signalization schemes

the inductive blockwise alperin weight condition for g2 q and d43 q abstract the inductive blockwise alperin weight condition is a system of conditions whose verification for all non abelian finite simple groups would imply the blockwise alperin weight conjecture we establish this condition for the groups g 2 q q 5 and d 4 3 q for all primes dividing their order

mean field flow difference model with consideration of on ramp and off ramp abstract in this paper an extended lattice hydrodynamic model is proposed by incorporating the effects of mean field flow difference on ramp and off ramp the linear stability condition is obtained through linear stability theory and the mkdv equation is derived by using nonlinear analysis method therefore the propagation behavior of traffic jam can be described by the kink antikink soliton solution of the mkdv equation furthermore the theoretical findings are verified with the use of numerical simulation which confirms that the stability of traffic flow can be efficiently improved with the consideration of the effects of mean field flow difference on ramp and off ramp

disappearance of cusp forms in special families in his 1954 g6ttingen lectures atle selberg sb posed the question of the asymptotic density of the poles of the eisenstein series for r a cofinite non cocompact subgroup of psl 2 r the question is known to be equivalent to the asymptotic count of the number of eigenvalues for the laplacebeltrami operator d acting in l2 h r where h is the upper halfplane with hyperbolic metric in general the spectral decomposition of d consists of the continuous band 1 4 oo with multiplicity the number of cusps of h r and a discrete component possibly in 1 4 0o spanned by eigenfunctions w1i wp2 see hj1 kb lxp for the eigenvalues aj dpj ajpj o consider the spectral counting function n r ij v n 0 see dips ps2 cor 2 3 luo lu recently established the unconditional result his argument does not involve the lindel6f hypothesis deshouillers et

on the inductive alperin mckay and alperin weight conjecture for groups with abelian sylow subgroups abstract we study the inductive alperin mckay conjecture the inductive isaacs navarro refinement and the inductive blockwise alperin weight conjecture for groups of lie type in the generic case of abelian sylow l subgroups we also show that the alternating groups the suzuki groups and the ree groups satisfy the inductive condition necessary for spath s reduction of the blockwise alperin weight conjecture to the case of simple groups

an extended macro traffic flow model accounting for the driver s bounded rationality and numerical tests abstract in this paper we propose a macro traffic flow model to explore the effects of the driver s bounded rationality on the evolutions of traffic waves which include shock and rarefaction waves and small perturbation and on the fuel consumption and emissions that include co hc and no x during the evolution process the numerical results illustrate that considering the driver s bounded rationality can prominently smooth the wavefront of the traffic waves and improve the stability of traffic flow which shows that the driver s bounded rationality has positive impacts on traffic flow but considering the driver s bounded rationality reduces the fuel consumption and emissions only at the upstream of the rarefaction wave while enhances the fuel consumption and emissions under other situations which shows that the driver s bounded rationality has positive impacts on the fuel consumption and emissions only at the upstream of the rarefaction wave while negative effects on the fuel consumption and emissions under other situations in addition the numerical results show that the driver s bounded rationality has little prominent impact on the total fuel consumption and emissions during the whole evolution of small perturbation

action of automorphisms on irreducible characters of symplectic groups abstract assume g is a finite symplectic group sp 2 n q over a finite field f q of odd characteristic we describe the action of the automorphism group aut g on the set irr g of ordinary irreducible characters of g this description relies on the equivariance of deligne lusztig induction with respect to automorphisms we state a version of this equivariance which gives a precise way to compute the automorphism on the corresponding levi subgroup this may be of independent interest as an application we prove that the global condition in spath s criterion for the inductive mckay condition holds for the irreducible characters of sp 2 n q

the stabilization effect of the density difference in the modified lattice hydrodynamic model of traffic flow abstract a modified lattice hydrodynamic model of traffic flow is proposed by introducing the density difference between the leading and the following lattice the stability condition of the modified model is obtained through the linear stability analysis the results show that considering the density difference leads to the stabilization of the system the burgers equation and mkdv equation are derived to describe the density waves in the stable and unstable regions respectively numerical simulations show that considering the density difference not only could stabilize traffic flow but also makes the lattice hydrodynamic model more realistic

nonlinear analysis for an improved car following model account for the optimal velocity changes with memory abstract in this paper an extended car following model is developed basing on the full velocity difference model fvdm to investigate the effect of the optimal velocity changes with memory on traffic flow the stability conditions of the improved model are obtained through linear stability analysis then the time dependent ginzburg landau tdgl equation and the modified korteweg de vries mkdv equation are derived by using nonlinear analysis the kink antikink soliton can describe the traffic jams near the critical point moreover the evolution of traffic jam and corresponding the change of energy consumption are discussed numerical simulations show that the extended model is found not only to enhance the stability of traffic flow but also to depress the energy consumption the numerical results are in good agreement with the theoretical analysis

a new car following model for autonomous vehicles flow with mean expected velocity field abstract due to the development of the modern scientific technology autonomous vehicles may realize to connect with each other and share the information collected from each vehicle an improved forward considering car following model was proposed with mean expected velocity field to describe the autonomous vehicles flow behavior the new model has three key parameters adjustable sensitivity strength factor and mean expected velocity field size two lemmas and one theorem were proven as criteria for judging the stability of homogeneousautonomous vehicles flow theoretical results show that the greater parameters means larger stability regions a series of numerical simulations were carried out to check the stability and fundamental diagram of autonomous flow from the numerical simulation results the profiles hysteresis loop and density waves of the autonomous vehicles flow were exhibited the results show that with increased sensitivity strength factor or field size the traffic jam was suppressed effectively which are well in accordance with the theoretical results moreover the fundamental diagrams corresponding to three parameters respectively were obtained it demonstrates that these parameters play almost the same role on traffic flux i e before the critical density the bigger parameter is the greater flux is and after the critical density the opposite tendency is in general the three parameters have a great influence on the stability and jam state of the autonomous vehicles flow

2 weights for unitary groups this paper gives a description of the local structures of 2 radical subgroups in a finite unitary group and proves alperin s weight conjecture for finite unitary groups when the characteristic of modular representation is even

generalized harish chandra theory for unipotent characters of finite classical groups the harish chandra theory for a finite group g of lie type states the following if p is an irreducible character of g then there is a parabolic subgroup p of g a levi decomposition lb of p and a cuspidal character ii of the levi subgroup such that p is a constituent of the induced character indg of the pullback of to p furthermore the pair l is uniquely determined by p up to conjugacy in g in the case where g is a classical group that is a general linear unitary symplectic or orthogonal group over cfq we generalize this theory relative to an odd prime r different from the defining characteristic there is an integer e and a polynomial 4 x of the form x 1 or y 1 with r dividing c q such that the following holds to each unipotent character p of g corresponds a pair l ic where l is a regular subgroup of g of the form a product of a classical group and cyclic tori of order 4 q ic is a unipotent character of l of degree divisible by the full power of r dividing i l z l l and p is a constituent of the virtual character rf ic moreover the pair l is determined by p up to conjugacy in g the harish chandra theory is the case e i this work arose in an investigation by the authors of the brauer r blocks of g a similar generalization of the harish chandra theory has been proposed by r boyce

perturbation theory for the laplacian on automorphic functions let f c psl 2 ir be a discrete subgroup with quotient f h of finite volume but not compact the spectrum of the laplacian on l2 auto morphic functions is unstable under perturbations however it becomes much more manageable when the scattering frequencies are adjoined with multiplic ity equal to the order of the pole of the determinant of the scattering matrix at these points this augmented set shows up in a natural way in a one sided version of the selberg trace formula and is the actual spectrum of the generator of a cut off wave equation applying standard perturbation theory to this op erator it is proved that the augmented spectrum is real analytic in teichmuller space the same operator is used to derive fermi s golden rule in this setting it turns out that the proper multiplicity to be attached to the laplacian eigen value at 4 is twice the dimension of cusp forms plus u tr f i 2 here 1 denotes the scattering matrix at this point it is shown that the generic value of u in the teichmuller space of the once punctured torus and the six times punctured sphere is zero this is also true of the x twisted spectral problem where x is a character for f department of mathematics stanford university stanford california 94305 department of mathematics princeton university princeton new jersey 08544 this content downloaded from 157 55 39 18 on sun 07 aug 2016 05 03 47 utc all use subject to http about jstor org terms

self stabilizing analysis of an extended car following model with consideration of expected effect abstract in this paper an extended car following model considers expected effects and self stabilizing control the self stabilizing control is applied to the new model by employing the anticipation velocity and the anticipation optimal velocity of the considered vehicle the theoretical analysis and numerical simulation are combined to carry out this paper the stability conditions can be derived from linear stability analysis moreover by using nonlinear analysis method the time dependent ginzburg landau tdgl equation and the modified kdv equation near critical point is derived by the reductive perturbation method finally theoretical results are in agreement with numerical simulation results confirming the correctness of the theoretical analysis results we demonstrate that self stabilizing control plays a positive part in restraining traffic congestion the results reveal that the expected time between the current velocity and the expected velocity has an important impact on the stability of traffic flow

traffic behavior of mixed traffic flow with two kinds of different self stabilizing control vehicles abstract in this paper we propose a heterogeneous car following model in terms of an extension to the original optimal velocity model characterizing two classes of different self stabilizing control vehicles linear stability analysis method is utilized to the extended model for purpose to explore how the varying percentages of the vehicles with short duration self stabilizing control influence the stability of the heterogeneous traffic flow we obtain the neutral stability lines for different percentages of two classes of vehicles with finding that the traffic flow trends to stable with the decrease of the percentage for short duration self stabilizing control vehicles moreover we explore a special case that the same numbers of two different classes of vehicles with self stabilizing control we theoretically derive the stability condition of the special case and conclude the effect of the average value and the standard deviation of two time gaps on the heterogeneous traffic stability at last direct simulations are conducted to verify the conclusion of theoretical analysis

the car following model considering traffic jerk abstract based on optimal velocity car following model a new model considering traffic jerk is proposed to describe the jamming transition in traffic flow on a highway traffic jerk means the sudden braking and acceleration of vehicles which has a significant impact on traffic movement the nature of the model is researched by using linear and nonlinear analysis method a thermodynamic theory is formulated to describe the phase transition and critical phenomenon in traffic flow the time dependent ginzburg landau tdgl equation and the modified korteweg de vries mkdv equation are derived to describe the traffic flow near the critical point and the traffic jam in addition the connection between the tdgl and the mkdv equations are also given

modified kdv equation for jamming transition in the continuum models of traffic abstract continuum models of traffic are proposed to describe the jamming transition in traffic flow on a highway they are the simplified versions of the hydrodynamic model of traffic two continuum models are presented one is described by the partial differential equations and the other is the discrete lattice version the linear stability theory and the nonlinear analysis are applied to the continuum models the modified korteweg de vries equation kdv near the critical point is derived using the reduction perturbation method it is shown that the jamming transition and the density wave in the congested traffic flow are described by the modified kdv equation the solutions of the kdv equations obtained from the two models are compared with that of the optimal velocity model car following model

energy consumption investigation for a new car following model considering driver s memory and average speed of the vehicles in this paper a modified car following model is proposed by taking into account the influence of the average speed effect of the vehicles and driver s memory on traffic flow basing on the two velocity difference model tvdm the stability conditions are obtained through the linear stability analysis the time dependent ginzburg landau tdgl equation and the modified korteweg de vries mkdv equation are derived in the unstable area by means of nonlinear analysis respectively the tdgland mkdv equations are constructed to describe the traffic behavior near the critical point the evolution of traffic congestion and the corresponding energy consumption are discussed numerical simulations are in good agreement with the theoretical results it is found that the extended model can not only to depress the energy consumption but also to enhance the stability of traffic flow

a new lattice model accounting for multiple optimal current differences anticipation effect in two lane system abstract this paper extends a two lane lattice hydrodynamic traffic flow model to take into account the driver s anticipation effect in sensing the multiple optimal current differences based on the proposed model we derive analytically the effect of driver s anticipation of multiple optimal current differences on the instability of traffic dynamics the phase diagrams have been plotted and discussed that the stability region enhances with anticipation effect in sensing multiple optimal current differences through simulation it is found that the oscillation of density wave around critical density decreases with an increase in lattice number and anticipation time for transient and steady state the simulation results are in good agreement with the theoretical analysis which show that considering the driver s anticipation of multiple optimal current differences in two lane lattice model stabilizes the traffic flow and suppresses the traffic jam efficiently

brauer morphism between modular hecke algebras noticeable progress in the knowledge of modular representations of finite groups has been accomplished by considering papers of broue puig and scott the most general situations where one can define the relative traces ideal and the brauer morphism see 4 our aim in this paper is to describe what happens in the case of p permutation modules and certain derived modules most of our matter comes from unpublished results of l puig then to apply that to representations of split bn pairs in natural characteristic these two subjects have been treated previously in two papers the first one by scott 26 points out the possibility of setting up for permutation modules a theory analogous to brauer s for group algebra and which contains it the results he obtains are analogues of brauer s first and second main theorems and brauer s theorems on defect 0 and 1 the other paper by tinberg 29 presents the results of curtis and richen and sawada and green on irreducible modules for split v pairs in natural characteristic and certain associated indecomposable modules tinberg s paper contains two further results an induction formula leading to very precise information about the dimension of the involved modules and a computation of vertex the latter result using scott s paper our study of the link between these subjects permits us first to simplify part b several proofs of the curtis richen sawada theory existence of weights structure coefficients for the modular hecke algebra end indg k and after that to obtain certain results about indecomposable direct summands of indg k part c in particular we check that irreducible kc modules g is a split bn pair represented in natural characteristic are in l l correspondence with g conjugacy classes of pairs i rr where v is a p subgroup of g and 7c an irreducible kjlr v v module of defect 0

phase diagrams on an unsignalized intersection for the cases of different maximum velocities of vehicles abstract using the cellular automaton traffic flow model we investigate an unsignalized intersection which consists of two perpendicular one lane roads both the roads cross at a point and the intersecting roads are cyclic each vehicle may pass or occupy the intersection where all the vehicles on both roads are not allowed to turn different from ishibashi and fukui s studies in which the update is carried out for both roads in turn the parallel update is proposed and its detailed rules are presented in our model in this work the cases of different maximum vehicle velocities on both roads are considered based on simulation results and the principle for constructing phase diagrams phase diagrams are mapped out and their specific flow formulas for all the regions in the phase diagrams are obtained for various vehicle densities which are seldom done in previous studies one also finds that the topology of phase diagrams depends on the update rules of eastbound and northbound roads and their maximum velocities of vehicles

stabilization effect of traffic flow in an extended car following model based on an intelligent transportation system application an extended car following model is proposed by incorporating an intelligent transportation system in traffic the stability condition of this model is obtained by using the linear stability theory the results show that anticipating the behavior of more vehicles ahead leads to the stabilization of traffic systems the modified korteweg de vries equation the mkdv equation for short near the critical point is derived by applying the reductive perturbation method the traffic jam could be thus described by the kink antikink soliton solution for the mkdv equation from the simulation of space time evolution of the vehicle headway it is shown that the traffic jam is suppressed efficiently with taking into account the information about the motion of more vehicles in front and the analytical result is consonant with the simulation one

the backward looking effect in the lattice hydrodynamic model abstract the novel lattice hydrodynamic model is presented by incorporating the backward looking effect the stability condition for the the model is obtained using the linear stability theory the result shows that considering one following site in vehicle motion leads to the stabilization of the system compared with the original lattice hydrodynamic model and the cooperative driving lattice hydrodynamic model the korteweg de vries kdv for short equation near the neutral stability line is derived by using the reductive perturbation method to show the traffic jam which is proved to be described by kdv soliton solution obtained from the kdv equation the simulation result is consistent with the nonlinear analysis

spectral theory of laplacians for hecke groups with primitive character it was proved by sel tha t the laplacian a f for congruence subgroups f of the modular group fz has an infinite sequence of embedded eigenvalues ai satisfying a weyl law i a rff 47r a for a cx here i l l is the area of the fundamental domain f of the group f and the eigenvalues ai are counted according to multiplicity the same holds true for the laplacian a f x where x is a character on f and a f x is associated with a congruence subgroup f1 of f it is an important question whether this is a characteristic of congruence groups or it may hold also for some non congruence subgroups of fz to investigate this problem phillips and sarnak studied per turbat ion theory for laplacians a f with regular per turbat ions derived from modular forms of

weights for symmetric and general linear groups abstract an important feature of the theory of finite groups is the number of connections and analogies with the theory of lie groups the concept of a weight has long been useful in the modular representation theory of finite lie groups in the defining characteristic of the group the idea of a weight in the modular representation theory of an arbitrary finite group was recently introduced in alperin proc sympos pure math 41 1987 369 379 where it was conjectured that the number of weights should equal the number of modular irreducible representations moreover this equality should hold block by block the conjecture has created great interest since its truth would have important consequences a synthesis of known results and solutions of outstanding problems in this paper we prove the conjecture first for the modular representations of symmetric groups and second for modular representations in odd characteristic r for the finite general linear groups in the latter case r may be assumed to be different from the defining characteristic p of the group since the result is known when r is p the well known analogy between the representation theory of the symmetric and general linear groups holds here too

the blocks and weights of finite special linear and unitary groups abstract this paper has two main parts first we give a classification of the l blocks of finite special linear and unitary groups sl n q in the non defining characteristic l 3 second we describe how the l weights of sl n q can be obtained from the l weights of gl n q when l gcd n q and verify the alperin weight conjecture for sl n q under the condition l gcd n q as a step to establish the alperin weight conjecture for all finite groups we prove the inductive blockwise alperin weight condition for any unipotent l block of sl n q if l gcd n q

a reduction theorem for the alperin weight conjecture the alperin weight conjecture was stated by j alperin in 1986 and constitutes one of the main problems in the representation theory of finite groups in this paper we provide a reduction to simple groups and as an application we prove the conjecture in several cases

a novel car following model considering average speed of preceding vehicles group abstract in this paper a new car following model is presented by considering the average speed effect of preceding vehicles group in cyber physical systems cps environment the effect of this new consideration upon the stability of traffic flow is examined through linear stability analysis a modified korteweg de vries mkdv equation was derived via nonlinear analysis to describe the propagating behavior of traffic density wave near the critical point good agreement between the simulation and the analytical results shows that average speed of preceding vehicles group leads to the stabilization of traffic systems and thus can efficiently suppress the emergence of traffic jamming

phase transitions in a cellular automaton model of a highway on ramp we introduce a lattice gas model for the merging of two single lane automobile highways the merging rules for traffic on the two lanes are deterministic but the inflow on both lanes is stochastic analysing the stationary distribution of this stochastic cellular automaton we find a discontinuous phase transition from a free flow phase which depends on the initial state of the road to a jammed phase where all memory of the initial state is lost inside the jammed phase we identify dynamical phase transitions in the approach to stationarity each dynamical phase is characterized by a fixed number of relaxation cycles which is decreasing as one moves deeper into the jammed phase in each cycle step the number of desperate drivers who force their way onto the main road when they reach the end of the on ramp increases until stationarity

equivariance and extendibility in finite reductive groups with connected center we show that several character correspondences for finite reductive groups g are equivariant with respect to group automorphisms under the additional assumption that the linear algebraic group associated to g has connected center the correspondences we consider are the so called jordan decomposition of characters introduced by lusztig and the generalized harish chandra theory of unipotent characters due to broue malle michel in addition we consider a correspondence giving character extensions due to the second author in order to verify the inductive mckay condition from isaacs malle navarro for the non abelian finite simple groups of lie types 3 mathsf d 4 mathsf e 8 mathsf f 4 2 mathsf f 4 and mathsf g 2

an improved car following model considering the immediately ahead car s velocity difference abstract the field car following data at a signalized intersection of jinan in china are collected for data mining an improved car following model considering the immediately ahead car s velocity difference on a single lane road was proposed calibrated and verified based on full velocity difference model the results of some numerical simulations indicate that the immediately ahead car s velocity difference has significant effects on the following car s motion that the improved car following model fits the measured data well and can qualitatively describe the impacts of the immediately ahead car s velocity difference on traffic flow and that modeling the car following behavior considering the immediately ahead car s velocity difference can improve the stability of the simulated traffic flow

ramp induced transitions in traffic dynamics we present the analytical results of ramp effects in asymmetric simple exclusion processes both on ramp and off ramp are included in between the two open boundaries the ramps can be taken as the nontrivial boundaries to trigger the phase transitions exact phase diagrams are obtained analytically in the full parameter space we find that the order of the two ramps is crucial when the on ramp is placed after the off ramp along the traffic direction there are only four distinct phases free free free free free jam free jam jam and jam jam jam the other four phases from naive expectation cannot be realized i e jam free free jam jam free jam free jam and free jam free are all absent the free flow will not follow the congestion when the on ramp is placed before the off ramp we observe an interesting phase jam max free the bottleneck emerges as the flow in between the two ramps saturates to its maximum we further show that the roadway configuration is equivalent to a nonstandard intersection applications to a traffic rotary are discussed

an extended continuum model considering optimal velocity change with memory and numerical tests in this paper an extended continuum model of traffic flow is proposed with the consideration of optimal velocity changes with memory the new model s stability condition and kdv burgers equation considering the optimal velocities change with memory are deduced through linear stability theory and nonlinear analysis respectively numerical simulation is carried out to study the extended continuum model which explores how optimal velocity changes with memory affected velocity density and energy consumption numerical results show that when considering the effects of optimal velocity changes with memory the traffic jams can be suppressed efficiently both the memory step and sensitivity parameters of optimal velocity changes with memory will enhance the stability of traffic flow efficiently furthermore numerical results demonstrates that the effect of optimal velocity changes with memory can avoid the disadvantage of historical information which increases the stability of traffic flow on road and so it improve the traffic flow stability and minimize cars energy consumptions

phase diagram of a traffic roundabout abstract we propose a simple cellular automaton model to study the traffic dynamics in a roundabout both numerical and analytical results are presented we are able to obtain exact solutions in the full parameter space exact phase diagrams are derived when the traffic from two directions mixed there are only five distinct phases some of the combinations from naive intuition are strictly forbidden we also compare the results to a signaled intersection

a lattice hydrodynamic model based on delayed feedback control considering the effect of flow rate difference abstract in this paper a lattice hydrodynamic model is derived considering not only the effect of flow rate difference but also the delayed feedback control signal which including more comprehensive information the control method is used to analyze the stability of the model furthermore the critical condition for the linear steady traffic flow is deduced and the numerical simulation is carried out to investigate the advantage of the proposed model with and without the effect of flow rate difference and the control signal the results are consistent with the theoretical analysis correspondingly

the inductive blockwise alperin weight condition for psl n q and psu n q with cyclic outer automorphism groups abstract in this paper we prove that if n q is such chosen that the outer automorphism groups of psl n q and psu n q are cyclic psl n q and psu n q satisfy the inductive blockwise alperin weight condition for any prime l different from the defining characteristic to do this it suffices to study actions of automorphisms on the brauer characters and weights of gl n q and gu n q for l and to show that the blockwise bijection between brauer characters and weights given in 1 3 4 and 5 is equivariant

computational proof of the mackey formula for q 2 let g be a connected reductive group defined over a finite field with q elements we prove that the mackey formula for the lusztig induction and restriction holds in g whenever q 2 or g does not have a component of type e

on the inductive blockwise alperin weight condition for classical groups abstract recently there has been substantial progress on the alperin weight conjecture as a step to establish the alperin weight conjecture for all finite groups we prove the inductive blockwise alperin weight condition for simple groups of classical type under some additional assumption

on the alperin mckay conjecture for simple groups of type a abstract in this paper characters of the normalizer of d split levi subgroups in sl n q and su n q are parametrized with a particular focus on the clifford theory between the levi subgroup and its normalizer these results are applied to verify the alperin mckay conjecture for primes l with l 6 q 2 1 and the alperin weight conjecture for l blocks of those quasi simple groups with abelian defect the inductive alperin mckay condition and inductive alperin weight condition by the second author are verified for certain blocks of sl n q and su n q

extensions of unipotent characters and the inductive mckay condition abstract we prove that unipotent characters of groups of lie type extend to their inertia groups in the full automorphism group we then apply this in order to show that certain groups of lie type are good for the prime p 3 or p 2 this deals with all the exceptions not covered by our general approach for verifying the mckay conjecture for all groups of lie type in non defining characteristic

on selberg s small eigenvalue conjecture and residual eigenvalues we show that selberg s eigenvalue conjecture concern ing small eigenvalues of the automorphic laplacian for congruence groups is equivalent to a conjecture about the non existence of residual eigenvalues for a perturbed system we prove this using a combination of methods from asymptotic perturbation theory and number theory

full velocity difference model for a car following theory in this paper we present a full velocity difference model for a car following theory based on the previous models in the literature to our knowledge the model is an improvement over the previous ones theoretically because it considers more aspects in car following process than others this point is verified by numerical simulation then we investigate the property of the model using both analytic and numerical methods and find that the model can describe the phase transition of traffic flow and estimate the evolution of traffic congestion

on unipotent blocks and their ordinary characters there is a great deal of evidence suggesting that block theory for finite reductive groups should lead to an enrichment of the harish chandra theory for those groups see s 5 1 fs2 p2 3 4 h 6 1 10 an e generalized harish chandra theory for e a positive integer is introduced in bmm i a the context is as follows let g be a connected reductive group defined over lfq with associated frobenius endomorphism f let e 1 an integer when l is an f stable levi subgroup of g one denotes by r and re the lusztig functor and its adjoint a unipotent e pair l l is defined by an e split levi subgroup l of g and a unipotent character z d l 1 one writes li z1 l2 j 2 if and only if l1 c l 2 and zl l2 l 1 2 l 4 0 see 3 l the notion of unipotent e cuspidal pairs and the resulting partition of g g v 1 are defined as in the classical case corresponding to e 1 if f is a prime not dividing q and e is the order of q mod f it seems natural in connection with blocks to ask if the partition of the unipotent characters 8 g v l resulting from e theory coincides with f blocks the blocks of g v which are defined by unipotent characters are called unipoteut f blocks we prove