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QUASIHOMOGENEOUS THREE-DIMENSIONAL REAL ANALYTIC LORENTZ METRICS DO NOT EXIST
THREE-DIMENSIONAL LORENTZ METRICS
2015/10/14
We show that a germ of a real analytic Lorentz metric on R
3 which is locally homogeneous on an
open set containing the origin in its closure is necessarily locally homogeneous. We classifiy L...
This course was given at ENSET Oran, November 4-9, 2006. It is
an introduction to isometric actions of Lie groups on Lorentz manifolds.
Several examples are presented, followed by general defi...
Isometric actions of Heisenberg groups on compact Lorentz manifolds
Heisenberg groupsl Lorentz manifolds
2015/10/14
We prove results toward classifying compact Lorentz manifolds on
which Heisenberg groups act isometrically. We give a general construction,
leading to a new example, of codimension-one actions—those...
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical,
real-analytic, complete Lorentz manifold such that the isometry grou...
ANOMALOUS CURRENT IN PERIODIC LORENTZ GASES WITH INFINITE HORIZON
PERIODIC LORENTZ GASES INFINITE HORIZON
2015/9/29
We study electrical current in two-dimensional periodic Lorentz gas in the presence of a weak homogeneous etric field.When the horizon is finite, i.e. the free flights between
colli...
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...
LIMIT THEOREMS FOR LOCALLY PERTURBED PLANAR LORENTZ PROCESSES
LOCALLY PERTURBED PLANAR PROCESSES
2015/9/29
Modify the scatterer conguration of a planar, nitehorizon Lorentz process in a bounded domain. Sinai asked in
1981 whether for the diffusively scaled variant of the modied
process convergence to Bro...
NON EQUILIBRIUM DENSITY PROFILES IN LORENTZ TUBES WITH THERMOSTATED BOUNDARIES
EQUILIBRIUM DENSITY PROFILES THERMOSTATED BOUNDARIES
2015/9/29
We consider a long Lorentz tube with absorbing boundaries.
Particles are injected to the tube from the left end. We compute the equilibrium density pro les in two cases: the semi-in nite tube (in whi...
We introduce the notion of recurrent geodesic rays in
a complete °at Lorentz 3-manifold. We completely classify the
dynamical behavior of geodesics in cyclic quotients, and apply this
classiˉcation...
NONSTANDARD LORENTZ SPACE FORMS
lorentz Space form
2015/9/29
In their recent paper [8], Kulharni and Raymond show that a closed
3-manifold which admits a complete Lorentz metric of constant curvature 1
(henceforth called a complete Lorentz structure) must be ...
THE FUNDAMENTAL GROUP OF A COMPACT FLAT LORENTZ SPACE FORM IS VIRTUALLY POLYCYCLIC
lorentz Multi-loop spatial form
2015/9/29
A flat Lorentz space form is a geodesically complete Lorentzian manifold of
zero curvature. It is well known (see Auslander & Markus [3]) that such a space
M may be represented as a quotient Rw
/Γ,...
PARTIAL GENERALIZATIONS OF SOME CONJECTURES IN LOCALLY SYMMETRIC LORENTZ SPACES
PARTIAL GENERALIZATIONS CONJECTURES SYMMETRIC LORENTZ SPACES
2018/4/19
Abstract. In this paper, first we give a notion for linear Weingarten spacelike hypersurfaces with P + aH = b in a locally symmetric Lorentz space Ln+11 . Furthermore, we study complete or compact lin...
An Off-Diagonal Marcinkiewicz Interpolation Theorem on Lorentz Spaces
quasilinear operator Marcinkiewicz interpolation theorem Lorentz space restricted weak type estimate
2011/10/10
Let (X,u) be a measure space. In thispaper, using some ideas from L. Grafakos and N. Kalton, the authorsestablish an off-diagonal Marcinkiewicz interpolation theorem for aquasilinear operator T in Lor...
4-dimensional Spin-foam Model with Quantum Lorentz Group
Quantum Group Loop Quantum Gravity Spin-foam Model
2011/3/3
We study the quantum group deformation of the Lorentzian EPRL spin-foam model. The construction
uses the harmonic analysis on the quantum Lorentz group. We show that the quantum group spin-foam model...
Equilibration, generalized equipartition, and diffusion in dynamical Lorentz gases
Equilibration generalized equipartition diffusion dynamical Lorentz gases
2010/12/15
We prove approach to thermal equilibrium for the fully Hamiltonian dynamics of a dynamical Lorentz gas, by which we mean an ensemble of particles moving through a d-dimensional array of fixed soft sca...