Search Results - "Baryshnikov, Yuliy"

Flux in Tilted Potential Systems: Negative Resistance and Persistence by Baryshnikov, Yuliy, Kvalheim, Matthew D.

“…Many real-world systems are well-modeled by Brownian particles subject to gradient dynamics plus noise arising, e.g., from the thermal fluctuations of a heat…”
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Quadratic differentials and signed measures by Baryshnikov, Yuliy, Shapiro, Boris

“…In this paper, motivated by the classical notion of a Strebel quadratic differential on a compact Riemann surface without boundary, we introduce several more…”
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Stationary Points at Infinity for Analytic Combinatorics by Baryshnikov, Yuliy, Melczer, Stephen, Pemantle, Robin

“…On complex algebraic varieties, height functions arising in combinatorial applications fail to be proper. This complicates both the description and computation…”
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Asymptotics of Multivariate Sequences IV: Generating Functions with Poles on a Hyperplane Arrangement by Baryshnikov, Yuliy, Melczer, Stephen, Pemantle, Robin

“…Let F ( z 1 , ⋯ , z d ) be the quotient of an analytic function with a product of linear functions. Working in the framework of analytic combinatorics in…”
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TARGET ENUMERATION VIA EULER CHARACTERISTIC INTEGRALS by BARYSHNIKOV, YULIY, GHRIST, ROBERT

“…We solve the problem of counting the total number of observable targets (e.g., persons, vehicles, landmarks) in a region using local counts performed by a…”
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Comparing Cyclicity Analysis With Pre-established Functional Connectivity Methods to Identify Individuals and Subject Groups Using Resting State fMRI by Shahsavarani, Somayeh, Abraham, Ivan T, Zimmerman, Benjamin J, Baryshnikov, Yuliy M, Husain, Fatima T

“…The resting state fMRI time series appears to have cyclic patterns, which indicates presence of cyclic interactions between different brain regions. Such…”
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Euler integration over definable functions by Baryshnikov, Yuliy, Ghrist, Robert

“…We extend the theory of Euler integration from the class of constructible functions to that of "tame" R-valued functions (definable with respect to an…”
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Dissociating tinnitus patients from healthy controls using resting-state cyclicity analysis and clustering by Zimmerman, Benjamin J., Abraham, Ivan, Schmidt, Sara A., Baryshnikov, Yuliy, Husain, Fatima T.

“…Chronic tinnitus is a common and sometimes debilitating condition that lacks scientific consensus on physiological models of how the condition arises as well…”
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Linear obstacles in linear systems, and ways to avoid them by Baryshnikov, Yuliy

“…We describe the cohomology ring of the space of trajectories of linear control systems avoiding linear obstacles…”
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Unexpected Utility Paradoxes by Baryshnikov, Yuliy

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Around Arrow by Baryshnikov, Yuliy

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A topological proof of the Gibbard–Satterthwaite theorem by Baryshnikov, Yuliy, Root, Joseph

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Navigating the Negative Curvature of Google Maps by Baryshnikov, Yuliy, Ghrist, Robert

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On the topology of no k-equal spaces by Baryshnikov, Yuliy, Klivans, Caroline, Kosar, Nicholas

“…We consider the topology of real no k-equal spaces via the theory of cellular spanning trees. Our main theorem proves that the rank of the (k−2)-dimensional…”
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Stokes's Theorem, Data, and the Polar Ice Caps by Baryshnikov, Yuliy, Ghrist, Robert

“…Geographers and climate scientists alike sometimes need to estimate the area of a large region on the surface of the Earth, such as the polar ice caps. Doing…”
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Minimal unimodal decomposition on trees by Baryshnikov, Yuliy, Ghrist, Robert

“…The decomposition of a density function on a domain into a minimal sum of unimodal components is a fundamental problem in statistics, leading to the…”
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Asymptotics of multivariate sequences, part III: Quadratic points by Baryshnikov, Yuliy, Pemantle, Robin

“…We consider a number of combinatorial problems in which rational generating functions may be obtained, whose denominators have factors with certain…”
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Asymptotics of multivariate sequences in the presence of a lacuna by Baryshnikov, Yuliy, Melczer, Stephen, Pemantle, Robin

“…We explain a discontinuous drop in the exponential growth rate for certain multivariate generating functions at a critical parameter value in even dimensions d…”
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Min-Type Morse Theory for Configuration Spaces of Hard Spheres by Baryshnikov, Yuliy, Bubenik, Peter, Kahle, Matthew

“…In this paper we study configuration spaces of hard spheres in a bounded region. We develop a general Morse-theoretic framework and show that mechanically…”
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Types of Markov Fields and Tilings by Baryshnikov, Yuliy, Duda, Jaroslaw Jarek, Szpankowski, Wojciech

“…The method of types is one of the most popular techniques in information theory and combinatorics. However, thus far the method has been mostly applied to 1-D…”
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