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Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
Averaging Markov Process Hamiltonian Flow
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2015/9/29
We study deterministic and stochastic perturbations of incompressible flows on
a two-dimensional torus. Even in the case of purely deterministic perturbations,
the long-time behavior of such &...
Deterministic and stochastic perturbations of area preserving flows on a two-dimensional torus
Averaging Markov Process Hamiltonian Flow Gluing Conditions Diffusion on a Graph
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2015/9/28
We study deterministic and stochastic perturbations of incompressible flows on a two-dimensional torus. Even in the case of purely deterministic perturbations, the long-time behavior of such ...
The Capacity Region of a Class of Deterministic Interference Channels
Capacity Region Deterministic Interference Channels
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2015/8/12
The Capacity Region of a Class of Deterministic Interference Channels.
Spatial Evolutionary Game Theory: Deterministic Approximations, Decompositions, and Hierarchical Multi-scale Models
Evolutionary games Hierarchical Multi-scale models
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2014/12/8
Evolutionary game theory has recently emerged as a key paradigm in various behavioral science disciplines. In particular it provides powerful tools and a conceptual framework for the analysis of the t...
Deterministic Distributed Data Aggregation under the SINR Model
SINR interference model, data aggregation, physical carriersensing.
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2012/12/3
Given a set of nodes V, where each node has some data value,the goal of data aggregation is to compute some aggregate function in the fewest timeslots possible. Aggregate functions compute the aggrega...
Estimation in high-dimensional linear models with deterministic design matrices
Identifiability projection ridge regression sparsity thresholding variable selection
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2012/6/21
Because of the advance in technologies, modern statistical studies often encounter linear models with the number of explanatory variables much larger than the sample size. Estimation and variable sele...
Deterministic Construction of an Approximate M-Ellipsoid and its Application to Derandomizing Lattice Algorithms
Approximate M-Ellipsoid Lattice Algorithms Computational Complexity
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2011/10/9
Abstract: We give a deterministic O(log n)^n algorithm for the {\em Shortest Vector Problem (SVP)} of a lattice under {\em any} norm, improving on the previous best deterministic bound of n^O(n) for g...
Deterministic Dynamics and Chaos: Epistemology and Interdisciplinary Methodology
Deterministic Dynamics Chaos Epistemology Interdisciplinary Methodology
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2011/7/6
We analyze, from a theoretical viewpoint, the bidirectional interdisciplinary relation between mathematics and psychology, focused on the mathematical theory of deterministic dynamical systems, and in...
Numerical methods for the exit time of a piecewise-deterministic Markov process
exit time piecewise deterministic Markov processes quantization
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2011/1/21
We present a numerical method to compute the survival function and the moments of the exit time for a piecewise-deterministic Markov process (PDMP).
Deterministic Compressed Sensing Matrices from Multiplicative Character Sequences
Sensing Matrices Multiplicative Character Sequences
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2010/11/18
Compressed sensing is a novel technique where one can recover sparse signals from the undersampled measurements. In this paper, a $K \times N$ measurement matrix for compressed sensing is determinist...
A Deterministic Equivalent Approach to the Performance Analysis of Isometric Random Precoded Systems
the Performance Analysis Precoded Systems
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2010/11/22
In this work, a general wireless channel model for different types of code-division multiple access (CDMA) and space-division multiple-access (SDMA) systems with isometric random signature or precodi...
The concept of an order and its application for research of the deterministic chains of symbols
concept of an order deterministic chains of symbols
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2010/11/29
The present work is dedicated to searching parameters, alternative to entropy, applicable for description of highly organized systems. The general concept has been offered, in which the system complex...
Deterministic methods to find primes
Deterministic methods primes
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2010/12/9
Given a large positive integer N, how quickly can one construct a prime number larger than N (or between N and 2N)? Using probabilistic methods, one can obtain a prime number in time at most logO(1) N...
The Capacity of the Semi-Deterministic Cognitive Interference Channel and its Application to Constant Gap Results for the Gaussian Channel
ThCapacity Semi-Deterministic Cognitive Interference Channel Application to Constant Gap Results
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2010/12/7
The cognitive interference channel (C-IFC) consists of a classical two-user interference channel in which the message of one user (the “primary” user) is non-causally available at
the transmitter of ...
Deterministic spectral properties of Anderson-type Hamiltonians
spectral properties Anderson-type Hamiltonians
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2010/12/1
This paper concerns the deterministic spectral properties of the self-adjoint operator A! = A + V! where V! = Pn !n( · , 'n)'n on a separable Hilbert space H with a sequence {'n} H. Here ! = (!1, !2...