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Efficient numerical simulations based on an explicit group approach for the time fractional advection–diffusion reaction equation
The time-fractional advection–diffusion reaction equation (TFADRE) is a fundamental mathematical model because of its key role in describing various...
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Second order local minimal-time mean field games
The paper considers a forward–backward system of parabolic PDEs arising in a Mean Field Game (MFG) model where every agent controls the drift of a...
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The structure of the local time of Markov processes indexed by Lévy trees
We construct an additive functional playing the role of the local time—at a fixed point x —for Markov processes indexed by Lévy trees. We start by...
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Approximate Solution of Small-Time Control Synthesis Problem Based on Linearization
We consider the problem of a feedback control design for a nonlinear control-affine system. The aim of the control is to bring trajectories of the...
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Algorithms for flows over time with scheduling costs
Flows over time have received substantial attention from both an optimization and (more recently) a game-theoretic perspective. In this model, each...
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Feynman checkers: lattice quantum field theory with real time
We present a new completely elementary model that describes the creation, annihilation, and motion of non-interacting electrons and positrons along a...
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Maximum Alternating Balanced Cycle Decomposition and Applications in Sorting by Intergenic Operations Problems
In the literature on genome rearrangement, several approaches use different structures to improve the results of genome rearrangement problems. In...
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Almost Sure Behavior for the Local Time of a Diffusion in a Spectrally Negative Lévy Environment
We study the almost sure asymptotic behavior of the supremum of the local time for a transient sub-ballistic diffusion in a spectrally negative Lévy...
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Efficient computation of extended surface sources
Source extension is a reformulation of inverse problems in wave propagation, that at least in some cases leads to computationally tractable iterative...
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Numerical Investigation of the Flow and Heat Transfer in Convergent Swirl Chambers
Confined swirling flows are a promising technique for cooling applications since they achieve high heat transfer rates. In such systems, however, an...
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Dynamic Mode Decomposition for Continuous Time Systems with the Liouville Operator
Dynamic mode decomposition (DMD) has become synonymous with the Koopman operator, where continuous time dynamics are discretized and examined using...
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Cell Repolarization: A Bifurcation Study of Spatio-Temporal Perturbations of Polar Cells
The intrinsic polarity of migrating cells is regulated by spatial distributions of protein activity. Those proteins (Rho-family GTPases, such as Rac...
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A Variational Characterization of Langevin-Smoluchowski Diffusions
We show that Langevin–Smoluchowski measure on path space is invariant under time-reversal, followed by stochastic control of the drift with a novel...
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Advanced Ground Truth Multimodal Imaging Using Time Reversal (TR) Based Nonlinear Elastic Wave Spectroscopy (NEWS): Medical Imaging Trends Versus Non-destructive Testing Applications
An innovative pragmatic approach is described using a symbiosis of modern signal processing techniques coming from nonlinear science and multiscale...
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Online k-taxi via Double Coverage and time-reverse primal-dual
We consider the online k -taxi problem, a generalization of the k -server problem, in which k servers are located in a metric space. A sequence of...
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Aestheticizing an Einsteinian World: The Idea of Space-Time in Russian Literary Theory and in Art Criticism
In this chapter, I will draw attention to what I will call an “aesthetization of an Einsteinian world” in the work of two Russian thinkers, Mikhail...