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math-ph2013★ 1 cited
Ultraviolet Renormalization of the Nelson Hamiltonian through Functional Integration
M. Gubinelli, F. Hiroshima, J. Lorinczi
Starting from the N-particle Nelson Hamiltonian defined by imposing an ultraviolet cutoff, we perform ultraviolet renormalization by showing that in the zero cutoff limit a self-ad…
math-ph2013
Periodic Solutions of Generalized Schrödinger Equations on Cayley Trees
Fumio Hiroshima, József Lörinczi, Utkir Rozikov
In this paper we define a discrete generalized Laplacian with arbitrary real power on a Cayley tree. This Laplacian is used to define a discrete generalized Schrödinger operator on…