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2018算子代数中的逼近性质及遍历理论研讨会（Workshop on Approximation Properties in Operator Algebras and Ergodic Theory）
2018 算子代数中的逼近性质及遍历理论 研讨会
2017/12/20
Modeling non-commutative phenomena in finite dimensional matrix algebras is a central theme of the program Quantitative Linear Algebra. This workshop will focus on a variety of concrete questions aro...
DILATION PROPERTIES FOR WEIGHTED MODULATION SPACES
Modulation spaces Besov spaces Dilation Inclusion Wave equations
2015/12/10
In this paper we give a sharp estimate on the norm of the scaling operator Uλf(x) = f(λx) acting on the weighted modulation spaces Mp,q s,t (Rd). In particular, we recover and extend recent results by...
First return and first hitting times, local times and
first intersection times are studied for planar finite horizon Lorentz
processes with a periodic configuration of scatte...
THE NONCOMMUTATIVE WIENER LEMMA,LINEAR INDEPENDENCE,AND SPECTRAL PROPERTIES OF THE ALGEBRA OF TIME-FREQUENCY SHIFT OPERATORS
NONCOMMUTATIVE WIENER LEMMA LINEAR INDEPENDENCE SPECTRAL PROPERTIES OF THE ALGEBRA TIME-FREQUENCY SHIFT OPERATORS
2015/9/29
In this paper we analyze the Banach *-algebra of time-frequency shifts with absolutely summable coefficients. We prove a noncommutative version of the Wiener lemma. We also construct a faithful tracia...
The automorphism group of Thompson's group F: subgroups and metric properties
automorphism group Thompson's group F subgroups and metric properties
2011/9/16
Abstract: We describe some of the geometric properties of the automorphism group Aut(F) of Thompson's group F. We give realizations of Aut(F) geometrically via periodic tree pair diagrams, which lead ...
On some ergodicity properties for time inhomogeneous Markov processes with $T$-periodic semigroup
Markov processes diffusion processes inhomogeneity in time periodicity Lyapunov function
2011/2/25
We consider a time inhomogeneous strong Markov process (ξt)t0 taking values in a Polish state space whose semigroup has a T -periodic structure. After reviewing some conditions which imply ergodicity...
Path subcoalgebras, finiteness properties and quantum groups
incidence coalgebra path coalgebra co-Frobenius coalgebra quasi-co-Frobenius coalgebra
2011/2/24
We study subcoalgebras of path coalgebras that are spanned by paths (called path subcoalgebras) and subcoalgebras of incidence coalgebras, and propose a unifying approach
for these classes.
Equivalent Semigroup Properties for Curvature-Dimension Condition
Curvature-dimension condition gradient inequality Harnack inequality
2011/2/28
Some equivalent gradient and Harnack inequalities of a diffusion semigroup are presented for the curvature-dimension condition of the associated generator. As ap-plications, the first eigenvalue, the ...
Asymptotic Properties of Linearized Equations of Low Compressible Fluid Motion
Asymptotic Properties of Linearized Equations Low Compressible Fluid Motion
2011/2/24
Initial–boundary value problem for linearized equations of motion of viscous barotropic fluid in a bounded domain is considered. Existence,uniqueness and estimates of weak solutions to this problem ar...
Fields of algebraic numbers with bounded local degrees and their properties
Fields of algebraic numbers bounded local degrees their properties
2011/1/18
We provide a characterization of infinite algebraic Galois extensions of the rationals with uniformly bounded local degrees, giving a detailed proof of all the results announced in Checcoli and Zannie...
Properties of the poset of Dyck paths ordered by inclusion
Dyck paths ordered by inclusion math
2010/11/24
An expository summary of properties of the poset of Dyck paths ordered by inclusion.
Analytic properties of fractional Schrödinger semigroups and Gibbs measures for symmetric stable processes
Schrö dinger semigroups Gibbs measures symmetric stable processes
2010/11/18
We establish a Feynman-Kac-type formula to define fractional Schr\"odinger operators for fractional Kato-decomposable potentials as self-adjoint operators. In this functional integral representation ...
On spectral properties of the fourth order differential operator with singular coefficients
spectral properties differential operator singular coefficients
2010/11/22
A formal fourth order differential operator with a singular coefficient that is a linear combination of the Dirac delta-function and its derivatives is considered. The asymptotic behavior of spectra ...
Arithmetic properties of centralizers of diffeomorphisms of the half-line
Arithmetic properties centralizers diffeomorphisms
2010/11/22
Let f be a smooth diffeomorphism of the half-line fixing only the origin and Z^r_f its centralizer in the group of C^r diffeomorphisms. According to well-known results of Szekeres and Kopell, Z^1_f i...
Remarks on Scattering Properties of the Solution to a Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities
Nonlinear Schr¨odinger equation Global existence Scattering property
2010/11/29
In this paper, we consider the Cauchy problem of Nonlinear Schr¨odinger equationiut + u = λ1|u|p1u + λ2|u|p2u, t ∈ R, x ∈ RN u(0, x) = ϕ(x), x ∈ RN,where N ≥ 3, 0 < p1 < p2 < 4
N−2 , λ1 ...