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Existence of Gibbs measure for a model of T-tessellations
Gibbs measure model of T-tessellations
2011/1/20
Some man-made landscapes, such as plots of land may be viewed as Ttessellations,that is a tessellations of a subset of the plane, where all vertices are degree three and with one flat angle. Adamczyk ...
Algebraic Properties of a Disordered Asymmetric Glauber Model
Algebraic Properties Disordered Asymmetric Glauber Model
2011/1/18
We consider an asymmetric variant of disordered Gla-uber dynamics of Ising spins on a one-dimensional lattice, where each spin flips according to the relative state of the spin to its
left.
Sutherland-type Trigonometric Models, Trigonometric Invariants and Multivariate Polynomials. III. $E_8$ case
Sutherland-type Trigonometric Models Trigonometric Invariants Multivariate Polynomials
2011/1/19
It is shown that the E8 trigonometric Olshanetsky-Perelomov Hamiltonian, when written in
terms of the Fundamental Trigonometric Invariants (FTI), is in algebraic form, i.e., has polynomial coefficien...
A Structured Population Model of Cell Differentiation
Structured population dynamics transport equation stem cells cell differentiation
2011/1/18
We introduce and analyze several aspects of a new model for cell differentiation.It assumes that differentiation of progenitor cells is a continuous process. From the mathematical point of view, it is...
Fluctuations of stable processes and exponential functionals of hypergeometric Levy processes
Hypergeometric L´ evy processes Lamperti-stable processes exponential functional
2011/1/18
We study the distribution and various properties of exponential functionals of hypergeometric
L´evy processes. We derive an explicit formula for the Mellin transform of the exponential function...
Absence of ground state for the Nelson model on static space-times
Quantum field theory Nelson model static space-times ground state
2011/1/21
We consider the Nelson model on some static space-times and investigate the problem of absence of a ground state. Nelson models with variable coefficients arise when one replaces in the usual Nelson m...
Arens regularity of module actions and weak amenability of Banach algebras
Arens regularity weak amenability of Banach algebras
2010/11/9
For Banach left and right module actions, we will establish the relationships between topological centers of module actions with some result in the weak amenability of Banach algebras.
Mass equidistribution of Hilbert modular eigenforms
Mass equidistribution Hilbert modular eigenforms
2010/11/11
Let F be a totally real number field, and let f traverse a sequence of non-dihedral holomorphic eigencuspforms on GL(2)/F of weight (k_1,...,k_n), trivial central character and full level. We show th...
Normality of bounded and unbounded adjointable operators are discussed. Suppose $T$ is an adjointable operator between Hilbert C*-modules which has polar decomposition, then $T$ is normal if and only...
Kinetic models for socio-economic dynamics of speculative markets
kinetic models opinion formation stock market power laws behavioral finance
2010/12/16
In this paper we introduce a simple model for a financial market characterized by a sin-
gle stock or good and an interplay between two different traders populations, chartists and
fundamentalists, ...
Analysis of kinematic waves arising in diverging traffic flow models
Kinematic wave models diverging traffic Riemann problem supply-demand space
2010/12/13
Diverging junctions are important network bottlenecks, and a better understanding of diverging
traffic dynamics has both theoretical and practical implications. In this paper, we first
introduce a c...
Mass generation mechanism for spin 1/2 fermions in Dirac--Yang--Mills model equations with a symplectic gauge symmetry
Mass generation mechanism spin 1/2 fermions symplectic gauge symmetry
2010/12/8
n the StandardModel of electroweak interactions the fundamental fermions acquire masses by the Yukawa interaction with the (spin 0) Higgs field. In our model spin 1/2 fermions acquire masses by an int...
We define model structures on exact categories which we call exact model structures. We look at the relationship between these model structures and cotorsion pairs on the exact category. In particular...
Condensation in the inclusion process and related models
inclusion process condensation Brownian energy pro-cess zero-range process
2010/12/15
We study condensation in several particle systems related to the inclusion process. For an asymmetric one-dimensional version with closed boundary conditions and drift to the right, we show that all b...
Gibbs-non-Gibbs properties for evolving Ising models on trees
non-Gibbsianness Ising models tree graphs Glauber dynamics
2010/12/7
In this paper we study homogeneous Gibbs measures on a Cayley tree,subjected to an innite-temperature Glauber evolution, and consider their (non-)Gibbsian properties. We show that the intermediate Gi...