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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...
Conjugacy classes in Weyl groups and q-W algebras
Conjugacy classes Weyl groups q-W algebras
2010/12/27
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 sli...
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...