Unveiling Scale-Dependent Statistical Physics: Connecting Finite-Size and Non-Equilibrium Systems for New Insights. [PDF]
Pérez-Madrid A, Santamaría-Holek I.
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Porous Organic Polymers: From Molecular Design to Scalable Technologies
This review introduces porous organic polymers (POPs) for a wide range of applications, including energy storage, gas adsorption, catalysts, adsorbents, biomedical applications, sensors, and other exciting fields, and critically analyzes the synthesis and modification, and how structural topology influences the composites' architecture of POPs, along ...
Hossein Mashhadimoslem +12 more
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Hypercomplex neural networks: Exploring quaternion, octonion, and beyond in deep learning. [PDF]
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Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]
Fré PG, Sorin AS, Trigiante M.
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Cell-to-cell communication: from physical calling to remote emotional touching. [PDF]
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Nonadditive Entropies and Nonextensive Statistical Mechanics. [PDF]
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The solitary solutions for the stochastic fractional Chen Lee Liu model perturbed by multiplicative noise in optical fibers and plasma physics. [PDF]
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QUANTUM STOCHASTIC CALCULUS ON BOOLEAN FOCK SPACE
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2004In this paper we establish a theory of stochastic integration with respect to the basic field operator processes in the Boolean case. This leads to a Boolean version of quantum Itô's product formula and has applications to the theory of dilations of quantum dynamical semigroups.
Anis Ben Ghorbal, Michael Schürmann
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Quantum and non-causal stochastic calculus
Acta Mathematica Sinica, English Series, 1998The authors introduce a quantum Fermion stochastic integral for non adapted integrands. Their method makes use of Guichardet's representation of Fock spaces in the form \(L^2 (\Gamma)\), where \(\Gamma\) is taken as the set of all finite subsets of a given non-atomic, separable, \(\sigma\)-finite, measurable space.
Liang, Zongxia, Zheng, Mingli
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