Results 41 to 50 of about 319 (51)

Painlev\'e Functions in Statistical Physics

, 2009
We review recent progress in limit laws for the one-dimensional asymmetric simple exclusion process (ASEP) on the integer lattice. The limit laws are expressed in terms of a certain Painlev\'e II function.
Tracy, Craig A., Widom, Harold
core   +1 more source

Ising tricriticality and the dilute A$_3$ model

, 2001
Some universal amplitude ratios appropriate to the $\phi_{2,1}$ peturbation of the c=7/10 minimal field theory, the subleading magnetic perturbation of the tricritical Ising model, are explicitly demonstrated in the dilute A$_3$ model, in regime 1 ...
Andrews G E, Batchelor M T, Baxter R J, Colomo F, Fateev V A, Fioravanti D, Izergin A G, Katherine A Seaton, Privman V, Seaton K A, Seaton K A, Smirnov F A, Suzuki J, Warnaar S O, Warnaar S O, Warnaar S O, Zamolodchikov A B, Zamolodchikov A B, Zamolodchikov A B   +18 more
core   +1 more source

Solutions of convex Bethe Ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials

, 2019
Via the solutions of systems of algebraic equations of Bethe Ansatz type, we arrive at bounds for the zeros of orthogonal (basic) hypergeometric polynomials belonging to the Askey-Wilson, Wilson and continuous Hahn families.Comment: 21 pages ...
Emsiz, E., van Diejen, J. F.
core   +1 more source

Moments and Lyapunov exponents for the parabolic Anderson model

, 2013
We study the parabolic Anderson model in $(1+1)$ dimensions with nearest neighbor jumps and space-time white noise (discrete space/continuous time). We prove a contour integral formula for the second moment and compute the second moment Lyapunov exponent.
Borodin, Alexei, Corwin, Ivan
core   +1 more source

Separation of variables for the quantum relativistic Toda lattices

, 1994
We consider quantum analogs of the relativistic Toda lattices and give new $2\times 2$ $L$-operators for these models. Making use of the variable separation the spectral problem for the quantum integrals of motion is reduced to solving one-dimensional ...
Kuznetsov, V. B., Tsiganov, A. V.
core   +2 more sources

Miura opers and critical points of master functions

Open Mathematics, 2005
Mukhin Evgeny, Varchenko Alexander
doaj   +1 more source

Solutions to the XXX type Bethe ansatz equations and flag varieties

Open Mathematics, 2003
Mukhin E., Varchenko A.
doaj   +1 more source

Loss of protein kinase C delta gene expression in human squamous cell carcinomas: a laser capture microdissection study. [PDF]

Am J Pathol, 2010
Yadav V, Yanez NC, Fenton SE, Denning MF.   +3 more
europepmc   +1 more source

Hypergeometric solutions of the quantum differential equation of the cotangent bundle of a partial flag variety

Open Mathematics, 2014
Tarasov Vitaly, Varchenko Alexander
doaj   +1 more source

Kac-Ward Solution of the 2D Classical and 1D Quantum Ising Models. [PDF]

Ann Henri Poincare
Athanasopoulos G, Ueltschi D.
europepmc   +1 more source