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7 papers · 1 filter
The infrared behaviour in Nelson's model of a quantum particle coupled to a massless scalar field
Jozsef Lorinczi, Robert A. Minlos, Herbert Spohn
We prove that Nelson's massless scalar field model is infrared divergent in three dimensions. In particular, the Nelson Hamiltonian and the Hamiltonian obtained from Euclidean quan…
On certain isomorphisms between absolute Galois groups
M. Rovinsky
Let be an algebraically closed field of characteristic zero, be an algebraically closed extension of of transcendence degree one, and be the group of automorphisms…
Infinite random matrices and ergodic measures
Alexei Borodin, Grigori Olshanski
We introduce and study a 2-parameter family of unitarily invariant probability measures on the space of infinite Hermitian matrices. We show that the decomposition of a measure fro…
Variational principles in the analysis of traffic flows. (Why it is worth to go against the flow.)
Michael Blank
By means of a novel variational approach and using dual maps techniques and general ideas of dynamical system theory we derive exact results about several models of transport flows…
Degenerate affine Hecke algebras and centralizer construction for the symmetric groups
A. I. Molev, G. I. Olshanski
In our recent papers the centralizer construction was applied to the series of classical Lie algebras to produce the quantum algebras called (twisted) Yangians. Here we extend this…
A Mixture of the Exclusion Process and the Voter Model
Vladimir Belitsky, Pablo A. Ferrari, Mikhail V. Menshikov +1
We consider a one-dimensional nearest-neighbor interacting particle system, which is a mixture of the simple exclusion process and the voter model. The state space is taken to be t…