output
20072024
most citedSubspace hypercyclicity

49 citations

19 papers

astro-ph.HE2024★ 34 cited

Broadband Multi-wavelength Properties of M87 during the 2018 EHT Campaign including a Very High Energy Flaring Episode

J. C. Algaba, M. Balokovic, S. Chandra +738

The nearby elliptical galaxy M87 contains one of the only two supermassive black holes whose emission surrounding the event horizon has been imaged by the Event Horizon Telescope (…

math.CO2022

Links in projective planar graphs

Joel Foisy, Luis Ángel Topete Galván, Evan Knowles +3

A graph is nonseparating projective planar if has a projective planar embedding without a nonsplit link. Nonseparating projective planar graphs are closed under taking mino…

math.DS2021★ 25 cited

The birth of the global stability theory and the theory of hidden oscillations

N. V. Kuznetsov, M. Y. Lobachev, M. V. Yuldashev +5

The first mathematical problems of the global analysis of dynamical models can be traced back to the engineering problem of the Watt governor design. Engineering requirements and c…

math.GM2021

Computing Pythagorean Triples

James M. Parks

Pythagorean triples are the positive integer solutions to the Pythagoras equation for right triangles, a2+b2 = c2. They have been studied for many years, many centuries in fact. In…

math.CO2021★ 1 cited

On the Curved Patterns Seen in the Graph of PPTs

James M. Parks

Dr. Ron Knott constructed a graph of all Primitive Pythagorean Triples (PPTs) with legs up to length 10,000, using Mathematica. The patterns are very interesting, suggesting conic…

physics.chem-ph2020★ 25 cited

Transient Resonant Auger-Meitner Spectra of Photoexcited Thymine

Thomas J. A. Wolf, Alexander C. Paul, Sarai D. Folkestad +15

We present the first investigation of excited state dynamics by resonant Auger-Meitner spectroscopy (also known as resonant Auger spectroscopy) using the nucleobase thymine as an e…

cs.NE2018★ 36 cited

The Surprising Creativity of Digital Evolution: A Collection of Anecdotes from the Evolutionary Computation and Artificial Life Research Communities

Joel Lehman, Jeff Clune, Dusan Misevic +50

Biological evolution provides a creative fount of complex and subtle adaptations, often surprising the scientists who discover them. However, because evolution is an algorithmic pr…

astro-ph.CO2016★ 6 cited

Bayesian Cosmic Web Reconstruction: BARCODE for Clusters

E. G. Patrick Bos, Rien van de Weygaert, Francisco Kitaura +1

We describe the Bayesian BARCODE formalism that has been designed towards the reconstruction of the Cosmic Web in a given volume on the basis of the sampled galaxy cluster distribu…

math.HO2016★ 2 cited

On the probability of co-primality of two natural numbers chosen at random (Who was the first to pose and solve this problem?)

Sergei Abramovich, Yakov Yu. Nikitin

The article attempts to demonstrate the rich history of one truly remarkable problem situated at the confluence of probability theory and theory of numbers - finding the probabilit…

math.DG2016★ 6 cited

On projectivized vector bundles and positive holomorphic sectional curvature

Angelynn Alvarez, Gordon Heier, Fangyang Zheng

We generalize a construction of Hitchin to prove that, given any compact Kähler manifold with positive holomorphic sectional curvature and any holomorphic vector bundle ove…

cond-mat.mtrl-sci2014★ 12 cited

Nonequilibrium Kinetic Modeling of Sintering of a Layer of Dispersed Nanocrystals

Vyacheslav Gorshkov, Vasily Kuzmenko, Vladimir Privman

We report a kinetic Monte Carlo modeling study of nanocrystal layer sintering. Features that are of interest for the dynamics of the layer as a whole, especially the morphology of…

quant-ph2014★ 2 cited

Perfect State Transfer in Laplacian Quantum Walk

R. Alvir, S. Dever, B Lovitz +4

For a graph and a related symmetric matrix , the continuous-time quantum walk on relative to is defined as the unitary matrix , where varies o…

quant-ph2012★ 1 cited

Perfect State Transfer on Signed Graphs

J. Brown, C. Godsil, D. Mallory +2

We study perfect state transfer of quantum walks on signed graphs. Our aim is to show that negative edges are useful for perfect state transfer. Specific results we prove include:…

stat.AP2012★ 38 cited

Residual analysis methods for space--time point processes with applications to earthquake forecast models in California

Robert Alan Clements, Frederic Paik Schoenberg, Danijel Schorlemmer

Modern, powerful techniques for the residual analysis of spatial-temporal point process models are reviewed and compared. These methods are applied to California earthquake forecas…

math.FA2010★ 49 cited

Subspace hypercyclicity

Blair Madore, Rubén A. Martínez Avendaño

A bounded linear operator T on Hilbert space is subspace-hypercyclic for a subspace M if there exists a vector whose orbit under T intersects the subspace in a relatively dense set…

math.GT2008

Intrinsically triple-linked graphs in RP^3

Joel Foisy, Jared Federman, Kristin McNamara +1

Flapan--Naimi--Pommersheim showed that every spatial embedding of , the complete graph on ten vertices, contains a non-split three-component link; that is, is intr…

math.GT2008★ 3 cited

Intrinsically Linked Graphs in Projective Space

Joel Foisy, Jason Bustamante, Jared Federman +5

We examine graphs that contain a non-trivial link in every embedding into real projective space, using a weaker notion of unlink than was used by Flapan, et al. We call such graphs…

quant-ph2008★ 1 cited

Mixing of Quantum Walks on Generalized Hypercubes

Ana Best, Markus Kliegl, Shawn Mead-Gluchacki +1

We study continuous-time quantum walks on graphs which generalize the hypercube. The only known family of graphs whose quantum walk instantaneously mixes to uniform is the Hamming…

quant-ph2007

Non-uniform mixing of quantum walk on cycles

William Adamczak, Kevin Andrew, Leon Bergen +4

A classical lazy random walk on cycles is known to mix to the uniform distribution. In contrast, we show that a continuous-time quantum walk on cycles exhibit strong non-uniform mi…