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math.PR2019★ 1 cited
Recurrence of direct products of diffusion processes in random media having zero potentials
Daehong Kim, Seiichiro Kusuoka
In this paper, we introduce an index which measures the strength of recurrence of symmetric Markov processes, and give some sufficient conditions for recurrence of direct products…
math.PR2019★ 15 cited
Stochastic quantization associated with the -quantum field model driven by space-time white noise on the torus
Masato Hoshino, Hiroshi Kawabi, Seiichiro Kusuoka
We consider a quantum field model with exponential interactions on the two-dimensional torus, which is called the -quantum field model or Høegh-Krohn's model. In the…