The bridges of a Markov process are also Markov. But an arbitrary mixture of these bridges
fails to be Markov in general. However, it still enjoys the interesting properties of a reciprocal …

The application of the Feynman‐Kac formula to Polaron models of quantum theory leads to
the path measure of Brownian motion perturbed by a pair potential that is translation …

Some penalisations of the Wiener measure Page 1 Japan. J. Math. 1, 263–290 (2006) DOI:
10.1007/s11537-006-0507-0 Some penalisations of the Wiener measure B. Roynette·P …

Quantum statistical mechanics plays a major role in many fields such as thermodynamics,
plasma physics, solid-state physics, and the study of stellar structure. While the theory of …

We prove that Nelson's massless scalar field model is infrared divergent in three
dimensions. In particular, the Nelson Hamiltonian has no ground state in Fock space and …

By means of functional integrations spectral properties of semi-relativistic Pauli–Fierz
Hamiltonians H=(p− α A) 2+ m 2− m+ V+ H rad in quantum electrodynamics are considered …

We prove tightness and limiting Brownian-Gibbs description for line ensembles of non-
colliding Brownian bridges above a hard wall, which are subject to geometrically growing …

The main objective of this contribution is to prove the Varadhan type short-time asymptotics
of an infinite dimensional diffusion process associated with a certain Dirichlet form. This …

Consider a discrete uniformly elliptic divergence form equation on the $ d $ dimensional
lattice $\mathbf {Z}^ d $ with random coefficients. It has previously been shown that if the …

We consider a class of Gibbs measures defined with respect to increments {ω (t)− ω (s)} s< t
of d-dimensional Wiener measure, with the underlying Hamiltonian carrying interactions of …