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1.
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Book
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Introduction of Probability theory and Statistics
(Collaboration)
2023/07
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2.
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Book
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Let's Use White Noise
(Collaboration)
2017/05
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3.
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Papers
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High accuracy distinction of shockable and non-shockable arrhythmias in abnormal classes through wavelet transform with pseudo differential like operators.
(Collaboration)
2023/06
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4.
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Papers
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Non-local Markovian Symmetric Forms on Infinite
Dimensional Spaces
Part 2. Applications: Non Local Stochastic Quantization of Space
Cut-Off Quantum Fields and Infinite Particle Systems
(Collaboration)
2022/08
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5.
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Papers
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Non-local Markovian symmetric forms on infinite dimensional spaces (1: closability and the quasi regularlity)
(Collaboration)
2021/08
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6.
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Papers
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An analysis of electrocardiograms through the wavelet
transform with pseudo differential operator like operators
(Collaboration)
2021/07
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7.
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Papers
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Non-local Markovian symmetric forms on infinite dimensional spaces;
Part 2. Examples: non local stochastic quantization of space cut-off quantum
fields and infinite particle systems
(Collaboration)
2021/05
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8.
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Papers
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Non-local Markovian symmetric forms on infinite dimensional space, Part 1, Closability and qyasi regularlity.
(Collaboration)
2020/08
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9.
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Papers
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A formulation of quasi-regular non-local Dirichlet forms on F{\'e}chet spaces with application
to a stochastic quantization of ${\Phi}^4_3$ field
(Collaboration)
2019/07
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10.
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Papers
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HIDA DISTRIBUTION CONSTRUCTION OF INDEFINITE METRIC (phi^p)_d
(d \geq 4) QUANTUM FIELD THEORY
(Collaboration)
2018/07
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11.
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Papers
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Hida distribution construction of
P(φ)d indefinite metric quantum field models without BPHZ renormalization
(Collaboration)
2014/07
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12.
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Papers
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A homeomorphism relating path spaces of stochastic processes with values in Rd respectively (S1)d
(Collaboration)
2014/01
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13.
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Papers
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Some abstract considerations on the homogenization problem of infinite dimensional diffusions
(Collaboration)
2010/10
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14.
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Papers
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On a universal framework of the homogenization problem for infinite dimensional diffusions
(Collaboration)
2010/09
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15.
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Papers
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Matrix representation of the (time zero) field operators on P(φ)4 Euclidean QFT by using Hida distributions
(Collaboration)
2009/07
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16.
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Papers
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Hida distribution construction of non-Gaussian reflection positive generalized random fields.
(Collaboration)
2009/01
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17.
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Papers
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On the Hida product and QFT with interactions
(Collaboration)
2008/10
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18.
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Papers
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New renormalization for the field operators on QFT by means of Hida product
(Collaboration)
2008/05
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19.
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Papers
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Reflection positive random fields and Dirichlet spaces.
(Collaboration)
2008/05
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20.
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Papers
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Markovian semigroups, time translation operator and a new development of Hida product between Hida distributions on sharp time fields
(Collaboration)
2007/07
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21.
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Papers
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Homogenization of Diffusions on the lattice Z^d with periodic drift
coefficients, applying a logarithmic Sobolev inequality or a weak Poincare inequality.
(Collaboration)
2007/05
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22.
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Papers
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Homogenization of diffusions on the lattice Zd with periodic drift coefficients; Application of Logarithmic Sobolev Inequality
(Collaboration)
2006/10
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23.
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Papers
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Multiple stochastic integrals construction of non-Gaussian reflection positive generalized random fields
(Collaboration)
2006/10
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24.
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Papers
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Elliptic Stochastic PDEs with polynomial perturbations having a correspondence to Euclidean QF
(Collaboration)
2006/04
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25.
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Papers
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Homogenization with respect to Gibbs measures for periodic drift diffusions on lattices
(Collaboration)
2005/12
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26.
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Papers
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Systems of classical particles in the grand canonical ensemble, scaling limits and quantum field theory.
(Collaboration)
2005/06
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27.
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Papers
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On the essential self-adjointness of Wick powers of relativistic fields and of fields unitary equivalent to random fields
(Collaboration)
2004/02
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28.
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Papers
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Homogenization of infinite dimensional diffusion processes with periodic drift coefficients
(Collaboration)
2004/01
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29.
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Papers
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On a solution of Quantized Non-Linear Equation with 4-SpaceTime Dimensions
(Collaboration)
2004/01
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30.
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Papers
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H-C1 maps and elliptic SPDEs with polynomial and exponential perturbations of Nelson's Euclidean free field.
(Collaboration)
2002/12
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31.
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Papers
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Probabilistic Proof of the Reflection Positivity Wick Powers of Generalized Euclidean Free Field for any Space Time Dimension
(Collaboration)
2002/12
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32.
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Papers
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On the Essential Self- Adjointness of Wick Powers of Relativistic Fields and of Fields Unitary Equivalent to Random Fields
(Collaboration)
2002/10
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33.
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Papers
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On a Duality of High Temperature and Low Activity Expansions
(Collaboration)
2002/09
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34.
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Papers
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Representating Euclidean quantum fields as scaling limit of particle systems
(Collaboration)
2002/07
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35.
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Papers
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Defining reflection positive random fields with interactions by polynomials of generalized Euclidean free fields.
(Single)
2000/04
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36.
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Papers
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Non-linear continuous maps on abstract Wiener spaces defined on space of tempered distributions.
(Single)
1999/12
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37.
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Papers
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Construction of infinite dimensional interacting diffusion processes through Dirichlet forms
(Single)
1996/10
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38.
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Papers
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The multidimensional optimal stopping problem with Monte Carlo simulation results - an optimal policy of environment poluting firm with goverment's compensations for ecology -
(Collaboration)
1993/10
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39.
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Papers
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A generalization of Nelson's consevative diffusion
(Single)
1992/01
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40.
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Papers
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On a generalization of Nelson's consevative diffusion
(Single)
1991/03
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41.
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Papers
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On Nelson processes with boundary condition
(Single)
1990/03
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42.
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Papers
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A construction scheme of the minimal dominating supermartingale arising in the discrete parameter optimal stopping problems
(Single)
1988/01
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43.
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Papers
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On disorder problem with point processes
(Single)
1986/06
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44.
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Papers
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Probability maximizing approach to a detection problem with continuous Markov processes.
(Single)
1984/01
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45.
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Papers
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Probability maximizing approach to a secretary problem with random change-point of distribution law of the observed process.
(Single)
1984/01
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46.
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Papers
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Probability maximizing approach for a quickest detection problem with complicated Markov chain.
(Single)
1983/09
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