39 citations · 40 across the 4 of their papers we have counts for
4 papers
Asymptotics of noncolliding q-exchangeable random walks
Leonid Petrov, Mikhail Tikhonov
We consider a process of noncolliding -exchangeable random walks on making steps (straight) and (down). A single random walk is called -exchangeable if…
Beyond RG: from parameter flow to metric flow
Charlotte Strandkvist, Pavel Chvykov, Mikhail Tikhonov
Complex systems with many degrees of freedom are typically intractable, but some of their behaviors may admit simpler effective descriptions. The question of when such effective de…
Parameter symmetry in perturbed GUE corners process and reflected drifted Brownian motions
Leonid Petrov, Mikhail Tikhonov
The perturbed GUE corners ensemble is the joint distribution of eigenvalues of all principal submatrices of a matrix , where is the random matrix f…
Abelian duality, walls and boundary conditions in diverse dimensions
Anton Kapustin, Mikhail Tikhonov
We systematically apply the formalism of duality walls to study the action of duality transformations on boundary conditions and local and nonlocal operators in two, three, and fou…