Search
Search Results
-
Sticky Brownian Motions and a Probabilistic Solution to a Two-Point Boundary Value Problem
In this paper, we study a two-point boundary value problem consisting of the heat equation on the open interval (0,1) with boundary conditions which...
-
On Three Magnetic Relativistic Schrödinger Operators and Imaginary-Time Path Integrals
Three magnetic relativistic Schrödinger operators are considered corresponding to the classical relativistic Hamiltonian symbol with magnetic vector...
-
Uniqueness Problem for Quantum Lattice Systems with Compact Spins
Quantum lattice systems with compact spins and nearest-neighbour interactions are considered. Uniqueness of the corresponding Euclidean Gibbs states...
-
The Ground State of Certain Coulomb Systems and Feynman-Kac Exponentials
We give a lower bound for the ground state energy of certain Coulomb Hamiltonians using the Feynman-Kac formula. We show that this bound is very...
-
Ergodic Properties of the Non-Markovian Langevin Equation
We discuss the dissipative dynamics of a classical particle coupled to an infinitely extended heat reservoir. We announce a number of results...