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BOWEN’S ENTROPY-CONJUGACY CONJECTURE IS TRUE UP TO FINITE INDEX
BOWEN’S ENTROPY CONJUGACY CONJECTURE FINITE INDEX
2015/9/29
For a topological dynamical system (X, f), consisting of a continuous map f : X → X, and a (not necessarily compact) set Z ⊂ X, Bowen [2] defined a dimension-like version of entropy,hX(f, Z). In...
Conjugacy growth of finitely generated groups
Conjugacy growth function small cancellation theory relatively hyperbolic group quasiisometry
2011/8/31
Abstract: We show that every non-decreasing function $f\colon \mathbb N\to \mathbb N$ bounded from above by $a^n$ for some $a\ge 1$ can be realized (up to a natural equivalence) as the conjugacy growt...
A Linear Programming Approach to Weak Reversibility and Linear Conjugacy of Chemical Reaction Networks
chemical kinetics stability theory weak reversibility linear programming dynamical equivalence
2011/8/30
Abstract: A numerically effective procedure for determining weakly reversible chemical reaction networks that are linearly conjugate to a known reaction network is proposed in this paper. The method i...
On twisted conjugacy classes of type D in sporadic simple groups
twisted conjugacy classes type D sporadic simple groups Quantum Algebra
2011/8/23
Abstract: We determine twisted conjugacy classes of type D associated to the sporadic simple groups. This is an important step in the program of the classification of finite-dimensional pointed Hopf a...
Accelerating cycle expansions by dynamical conjugacy
Accelerating cycle dynamical conjugacy Periodic orbit theory zeta function spectral determinant
2011/7/5
Periodic orbit theory provides two important functions—the dynamical zeta function and the
spectral determinant for the calculation of dynamical averages in a nonlinear system. Their cycle
expansion...
Knuth-Bendix algorithm and the conjugacy problems in monoids
Knuth-Bendix algorithm conjugacy problems monoids
2011/2/21
We present an algorithmic approach to the conjugacy problems in monoids, using rewriting systems. We extend the classical theory of rewriting developed by Knuth and Bendix to a rewriting that takes in...
Generating the Mobius group with involution conjugacy classes
Mobius group involution conjugacy classes
2011/2/28
A k-involution is an involution with a fixed point set of codimension k. The conjugacy class of such an involution, denoted Sk, generates M¨ob(n)-the the group of isometries of hyperbolic n-space-if k...
On subgroup conjugacy separability in the class of virtually free groups
subgroup conjugacy separability class of virtually free groups
2011/2/25
A group G is called subgroup conjugacy separable (abbreviated as SCS), if any two finitely generated and non-conjugate subgroups of G remain non-conjugate in some finite quotient of G. We prove that t...
We classify twisted conjugacy classes in loop groups, restricted to classical groups. The main tool we used is the so-called D_q module, an object which is related to vector bundles over elliptic curv...
On the conjugacy problem for finite-state automorphisms of regular rooted trees
finite-state automorphisms regular rooted trees math
2010/11/15
We study the conjugacy problem in the automorphism group $Aut(T)$ of a regular rooted tree $T$ and in its subgroup $FAut(T)$ of finite-state automorphisms. We show that under the contracting conditio...
On the conjugacy of pure imaginary elements of quaternion algebras and Cayley algebras
quaternion algebras Cayley algebras
2010/11/9
In the quatenions ($\H$, $\H'$, $\H^{C}$) and octonions ($\gC$, $\gC^\prime$, $\gC^C$), we show some results on the conjugacy of two pure imaginary non-zero elements with same norm.
Conjugacy classes in Weyl groups and q-W algebras
Conjugacy classes Weyl groups q-W algebras
2010/11/17
We define noncommutative deformations W_q^s(G) of algebras of regular functions on certain transversal slices to the set of conjugacy classes in an algebraic group G which play the role of Slodowy sl...
We prove that a finitely generated solvable group which is not virtually nilpotent has exponential conjugacy growth.
Products of Geck-Rouquier conjugacy classes and the Hecke algebra of composed permutations
Iwahori-Hecke algebras Geck-Rouquier conjugacy classes symmetric functions
2010/12/9
We show the q-analog of a well-known result of Farahat and Higman: in the center of the Iwahori-Hecke algebraHn,q, if (a μ(n, q)) is the set of structure constants involved in the product of two G...
Representation Growth in positive characteristic and conjugacy classes of maximal subgroups
Representation Growth positive characteristic conjugacy classes of maximal subgroups
2010/12/6
There have been a number of recent papers on the representation growth of various families of groups. In particular, see [LL], where very good estimates were given for the zeta function counting the c...