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pro vyhledávání: '"GRAFF A"'
The sequence of Dold coefficients $(a_n(f))_n$ of a self-map $f\colon X \to X$ forms a dual sequence to the sequence of Lefschetz numbers $(L(f^n))_n$ of iterations of $f$ under the M\"obius inversion formula. The set ${\mathcal AP}(f) = \{ n \,\colo
Externí odkaz:
http://arxiv.org/abs/2411.19313
Autor:
Ferreira, Fabio S., Ashburner, John, Bouzigues, Arabella, Suksasilp, Chatrin, Russell, Lucy L., Foster, Phoebe H., Ferry-Bolder, Eve, van Swieten, John C., Jiskoot, Lize C., Seelaar, Harro, Sanchez-Valle, Raquel, Laforce, Robert, Graff, Caroline, Galimberti, Daniela, Vandenberghe, Rik, de Mendonca, Alexandre, Tiraboschi, Pietro, Santana, Isabel, Gerhard, Alexander, Levin, Johannes, Sorbi, Sandro, Otto, Markus, Pasquier, Florence, Ducharme, Simon, Butler, Chris R., Ber, Isabelle Le, Finger, Elizabeth, Tartaglia, Maria C., Masellis, Mario, Rowe, James B., Synofzik, Matthis, Moreno, Fermin, Borroni, Barbara, Kaski, Samuel, Rohrer, Jonathan D., Mourao-Miranda, Janaina
In this study, we propose a novel approach to uncover subgroup-specific and subgroup-common latent factors addressing the challenges posed by the heterogeneity of neurological and mental disorders, which hinder disease understanding, treatment develo
Externí odkaz:
http://arxiv.org/abs/2410.07890
Autor:
Graff, Grzegorz, Topór, Patryk
We show that any sequence of integers satisfying necessary Dold's congruences is realized as the sequence of fixed point indices of the iterates of an orientation-reversing homeomorphism of $\mathbb{R}^{m}$ for $m\geq 3$. As an element of the constru
Externí odkaz:
http://arxiv.org/abs/2409.08753
A given self-map $f\colon M\to M$ of a compact manifold determines the sequence $\{L(f^n)\}_{n=1}^\infty$, of the Lefschetz numbers of its iterations. We consider its dual sequence $\{a_n(f)\}_{n=1}^\infty$ given by the M\"obius inversion formula. Th
Externí odkaz:
http://arxiv.org/abs/2408.12372
Annotations are a critical component of visualizations, helping viewers interpret the visual representation and highlighting critical data insights. Despite their significant role, we lack an understanding of how annotations can be incorporated into
Externí odkaz:
http://arxiv.org/abs/2408.04574
Autor:
Graff, Andrew M., Humphreys, Todd E.
This paper presents bounds, estimators, and signal design strategies for exploiting both known pilot resources and unknown data payload resources in time-of-arrival (TOA)-based positioning systems with orthogonal frequency-division multiplexing (OFDM
Externí odkaz:
http://arxiv.org/abs/2407.19106
Autor:
Graff, Emmanuel
We show that, for any number of components, the group of braids up to link-homotopy is torsion-free. This generalizes a result of Humphries up to six components, and provides an explicit solution to a question posed by Lin and addressed by Linell and
Externí odkaz:
http://arxiv.org/abs/2405.04422
Autor:
Pilarczyk, Paweł, Graff, Grzegorz, Amigó, José M., Tessmer, Katarzyna, Narkiewicz, Krzysztof, Graff, Beata
Publikováno v:
Chaos 33 (2023), 103140
We introduce an entropy-based classification method for pairs of sequences (ECPS) for quantifying mutual dependencies in heart rate and beat-to-beat blood pressure recordings. The purpose of the method is to build a classifier for data in which each
Externí odkaz:
http://arxiv.org/abs/2311.10752
Autor:
Mahamud, Sajid Bin, Butler, Steve, Graff, Hannah, Layman, Nick, Luck, Taylor, Jin, Jiah, Owen, Noah, Yuan, Angela
Coalescing involves gluing one or more rooted graphs onto another graph. Under specific conditions, it is possible to start with cospectral graphs that are coalesced in similar ways that will result in new cospectral graphs. We present a sufficient c
Externí odkaz:
http://arxiv.org/abs/2404.01561
Autor:
Graff, Andrew M., Humphreys, Todd E.
This paper presents methods of optimizing the placement and power allocations of pilots in an orthogonal frequency-division multiplexing (OFDM) signal to minimize time-of-arrival (TOA) estimation errors under power and resource allocation constraints
Externí odkaz:
http://arxiv.org/abs/2403.12905