Publications Influence

Share This Author

Feynman-Kac-Type Theorems and Gibbs Measures on Path Space: With Applications to Rigorous Quantum Field Theory

- J. Lőrinczi, F. Hiroshima, V. Betz
- Physics, Art
- 18 August 2011

This text offers a reliable and state-of-the-art introduction to the theory and method of Feynman-Kac formulas approached from three separate branches. These ideas are developed into a synthesis of… Expand

Spatial Random Permutations and Infinite Cycles

- V. Betz, D. Ueltschi
- Mathematics
- 8 November 2007

We consider systems of spatial random permutations, where permutations are weighed according to the point locations. Infinite cycles are present at high densities. The critical density is given by an… Expand

SPATIAL RANDOM PERMUTATIONS AND POISSON-DIRICHLET LAW OF CYCLE LENGTHS

- V. Betz, D. Ueltschi
- Mathematics
- 13 July 2010

We study spatial permutations with cycle weights that are bounded or slowly diverging. We show that a phase transition occurs at an explicit critical density. The long cycles are macroscopic and… Expand

Spatial random permutations with small cycle weights

- V. Betz, D. Ueltschi
- Mathematics
- 2 December 2008

We consider the distribution of cycles in two models of random permutations, that are related to one another. In the first model, cycles receive a weight that depends on their length. The second… Expand

Multi-scale metastable dynamics and the asymptotic stationary distribution of perturbed Markov chains

- V. Betz, Stéphane Le Roux
- Mathematics
- 22 December 2014

Random permutations with cycle weights.

- V. Betz, D. Ueltschi, Y. Velenik
- Mathematics
- 17 August 2009

We study the distribution of cycle lengths in models of nonuniform random permutations with cycle weights. We identify several regimes. Depending on the weights, the length of typical cycles grows… Expand

A central limit theorem for Gibbs measures relative to Brownian motion

Abstract.We study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in the infinite… Expand

Random Permutations of a Regular Lattice

- V. Betz
- Mathematics
- 11 September 2013

Spatial random permutations were originally studied due to their connections to Bose–Einstein condensation, but they possess many interesting properties of their own. For random permutations of a… Expand

Precise Coupling Terms in Adiabatic Quantum Evolution

Abstract.It is known that for multi-level time-dependent quantum systems one can construct superadiabatic representations in which the coupling between separated levels is exponentially small in the… Expand

On the Critical Temperature of Dilute Bose Gases

- V. Betz, D. Ueltschi
- Physics
- 19 October 2009

We compute the critical temperature of Bose-Einstein condensation in dilute three-dimensional homogeneous Bose gases. Our method involves the models of spatial permutations and it should be exact to… Expand

...

1

2

3

4

5

...