3 papers
math-ph2025
Alignment in products of positive matrices and Birkhoff's contraction formula: an elementary direct derivation
Evgenij Kritchevski
We revisit the classical problem of alignment in products of positive matrices. A direct analysis yields a sharp product misalignment bound, providing an elementary route to alignm…
math.PR2011
The scaling limit of the critical one-dimensional random Schrodinger operator
Evgenij Kritchevski, Benedek Valko, Balint Virag
We consider two models of one-dimensional discrete random Schrodinger operators (H_n ψ)_l =ψ_{l-1}+ψ_{l +1}+v_l ψ_l, ψ_0=ψ_{n+1}=0 in the cases v_k=σω_k/\sqrt{n} and v_k=σω_k/ \sqr…
math-ph2005
The Extended Variational Principle for Mean-Field, Classical Spin Systems
Eugene Kritchevski, Shannon Starr
The purpose of this article is to obtain a better understanding of the extended variational principle (EVP). The EVP is a formula for the thermodynamic pressure of a statistical me…