Results 91 to 100 of about 4,339 (214)
Современная математика: Фундаментальные направления, 2018 In this paper, we prove the H-theorem for generalized chemical kinetics equations. We consider important physical examples of such a generalization: discrete models of quantum kinetic equations (Uehling-Uhlenbeck equations) and a quantum Markov process ...
Victor V Vedenyapin +2 more
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Reinforcement Learning for Jump‐Diffusions, With Financial Applications
Mathematical Finance, EarlyView.ABSTRACT We study continuous‐time reinforcement learning (RL) for stochastic control in which system dynamics are governed by jump‐diffusion processes. We formulate an entropy‐regularized exploratory control problem with stochastic policies to capture the exploration–exploitation balance essential for RL.
Xuefeng Gao, Lingfei Li, Xun Yu Zhou
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ON CONNECTIONS BETWEEN GENERALIZED SOLUTIONS OF PDE'S OF THE FIRST ORDER
Ural Mathematical Journal, 2015 The paper is devoted to investigation of connections between generalized solutions of the Cauchy problemfor the Hamilton-Jacobi-Bellman equation and the corresponding quasilinear equation of the first order in theof case n-dimentional state ...
Ekaterina A. Kolpakova
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Equilibrium Reward for Liquidity Providers in Automated Market Makers
Mathematical Finance, EarlyView.ABSTRACT We find the equilibrium contract that an automated market maker (AMM) offers to their strategic liquidity providers (LPs) in order to maximize the order flow that gets processed by the venue. Our model is formulated as a leader–follower stochastic game, where the venue is the leader and a representative LP is the follower.
Alif Aqsha +2 more
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Mathematical Finance, EarlyView.ABSTRACT We study a dynamic portfolio optimization problem under the mean–variance–variance (M‐V‐V) criterion proposed by Maccheroni et al. It is an analogue of the Arrow–Pratt approximation to the well‐known smooth ambiguity model. Under the standard Black–Scholes framework, we derive fully explicit equilibrium investment strategies in which a DM's ...
David Landriault, Bin Li, Yuanyuan Zhang
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Market Making With Fads, Informed, and Uninformed Traders
Mathematical Finance, EarlyView.ABSTRACT We characterize the solution to a continuous‐time optimal liquidity provision problem in a market populated by informed and uninformed traders. In our model, the asset price exhibits fads —these are short‐term deviations from the fundamental value of the asset.
Emilio Barucci +2 more
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Coordinating Bank Dividend and Capital Regulation
Mathematical Finance, EarlyView.ABSTRACT This paper examines how state‐dependent dividend restrictions (taxes and bans) and capital requirements influence a bank's capital buffer accumulation and risk‐taking decisions. In the model, the bank distributes dividends and issues costly equity to maximise shareholder value, while its loans generate stochastic income under time‐varying ...
Salvatore Federico +2 more
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Arbitrary Lagrangian–Eulerian Formulation in a Rotating Frame to Model Friction Spinning
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT Friction spinning is a metal forming process that can be used to manufacture various shapes by rotating a metallic workpiece relative to a blunt tool. When used as a hot metal forming process, the relative velocity between workpiece and tool is increased until substantial heat is generated due to friction.
Johannes Friedlein +3 more
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The Long Shadow of Karl Weierstraß Over the Calculus of Variations
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT At first glance, it appears that the contents of Karl Weierstraß's (1815–1897) lecture courses on the calculus of variations were made available to the public only in the seventh volume of his Mathematische Werke, and thus not until 30 years after his death.
Peter Ullrich
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Electronic Journal of Differential Equations, 2019 In mathematics and physics, the Kardar-Parisi-Zhang equation or quasilinear stationary version of a time-dependent viscous Hamilton-Jacobi equation in growing interface and universality classes is also known as the quasilinear Riccati type equation ...
Minh-Phuong Tran, Thanh-Nhan Nguyen
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