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Crucial Events (CEs)
CE time series are generated by critical dynamic interactions among units within complex dynamic ONs that after disruption spontaneously reorganizes...
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Uncertainty and filtering of hidden Markov models in discrete time
We consider the problem of filtering an unseen Markov chain from noisy observations, in the presence of uncertainty regarding the parameters of the...
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Probabilistic Study of Voting Rules: A Tale of Two Volumes
Two volumes, published roughly 50 years apart and both dealing with the probabilistic analysis of collective decision-making, are reviewed with the...
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Second Order Finite Volume IMEX Runge-Kutta Schemes for Two Dimensional Parabolic PDEs in Finance
We present a novel and general methodology for building second order finite volume implicit-explicit Runge-Kutta numerical schemes for solving two...
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Numerical Solution of the Time Fractional Cable Equation
The time fractional diffusion equation has attracted the attention of many researchers in the last years due to its many applications in different...
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On the statistical background of quantum mechanics: generalities and a concrete example
We revisit our description of randomness in quantum processes that began in collaboration of Jean Ginibre. The calculations were performed on a...
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Multi-component Nonlinear Schrödinger Equations with Nonzero Boundary Conditions: Higher-Order Vector Peregrine Solitons and Asymptotic Estimates
The any multi-component nonlinear Schrödinger (alias n -NLS) equations with nonzero boundary conditions are studied. We first find the fundamental and...
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Catch Me If You Can: A Spatial Model for a Brake-Driven Gene Drive Reversal
Population management using artificial gene drives (alleles biasing inheritance, increasing their own transmission to offspring) is becoming a...
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Missing-Level Statistics in Chaotic Microwave Networks Versus Level Statistics of Partially Chaotic Systems
We present experimental and numerical studies of level statistics in incomplete spectra obtained with fully connected microwave networks simulating...
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Similarity of Orientations and Characteristic Orientations
In this section we introduce an equivalence relation on the set of all orientations of a graph. The study of equivalence classes with respect to this...
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Modeling the Linear Response from a Quantum Nonextensive System to a Dynamic External Disturbance
AbstractA dynamic theory of the linear reaction from nonextensive quasi-equilibrium multibody systems to an external time-dependent perturbation is...
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The Root solution to the multi-marginal embedding problem: an optimal stop** and time-reversal approach
We provide a complete characterisation of the Root solution to the Skorokhod embedding problem (SEP) by means of an optimal stop** formulation. Our...
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Optimization by Monte Carlo Methods
One category of global optimization problems is complicated by being combinatorial in nature, another is by having a large number of local optima....
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Computational Analysis and Heat Transfer of MHD Transient Free Convection Flow in a Vertical Microchannel in Presence of Hall and Ion Slip Effects
In the present investigation, transient magnetohydrodynamic flow with Hall and ion slip current in a microchannel with the consideration of induced...
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Predator–prey system with multiple delays: prey’s countermeasures against juvenile predators in the predator–prey conflict
Usually, juvenile predators are small in size, comparatively feeble and in the earlier phase of learning the tricky manoeuvre skills of predation....
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IMEX-RK Finite Volume Methods for Nonlinear 1d Parabolic PDEs. Application to Option Pricing
The goal of this paper is to develop 2nd order Implicit-Explicit Runge-Kutta (IMEX-RK) finite volume (FV) schemes for solving 1d parabolic PDEs for...
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On a Forward and a Backward Stochastic Euler Equation
We derive a stochastic Euler equation with transport noise and terminal time condition from a variational principle and relate it to the...
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A Recycling Heuristic Capable of Generating Initial Solutions for Use in Vehicle Routing Metaheuristics
Instances of the vehicle routing problem (VRP) and its variants are notoriously difficult to solve. Moreover, when combining characteristics of...
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Correction to: Two weight Sobolev norm inequalities for smooth Calderón–Zygmund operators and doubling weights
We correct two errors in the paper "Two weight Sobolev norm inequalities for smooth Calderón–Zygmund operators and doubling weights" published in...
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Pivot Gray Codes for the Spanning Trees of a Graph ft. the Fan
We consider the problem of listing all spanning trees of a graph G such that successive trees differ by pivoting a single edge around a vertex. Such...
