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Information Content and Maximum Entropy of Compartmental Systems in Equilibrium. [PDF]
Metzler H, Sierra CA.
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NeuroQ: Quantum-Inspired Brain Emulation. [PDF]
Vallverdú J, Rius G.
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Nonlinear SPDEs and Maximal Regularity: An Extended Survey. [PDF]
Agresti A, Veraar M.
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Neural SDE-based spike control of noisy neurons. [PDF]
Sato F +5 more
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An open-source software for building and simulating ordinary differential equation models in biology. [PDF]
Dos Santos BLM +6 more
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The success of artificial selection for collective composition hinges on initial and target values. [PDF]
Lee J, Shou W, Park HJ.
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Stochastic Differential Equations
2014Stochastic differential equations describe the time evolution of certain continuous n-dimensional Markov processes. In contrast with classical differential equations, in addition to the derivative of the function, there is a term that describes the random fluctuations that are coded as an Ito integral with respect to a Brownian motion. Depending on how
Etienne Pardoux, Aurel Răşcanu
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Stochastic Differential Equations [PDF]
A diffusion can be thought of as a strong Markov process (in ℝn) with continuous paths. Before the development of Ito’s theory of stochastic integration for Brownian motion, the primary method of studying diffusions was to study their transition semigroups.
R. J. Williams, K. L. Chung
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Stochastic Differential Equations
2012This chapter represents the core of the book. Building on the general theory introduced in previous chapters, stochastic differential equations (SDEs) are presented as a key mathematical tool for relating the subject of dynamical systems to Wiener noise.
Vincenzo Capasso, David Bakstein
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