Zobrazeno 1 - 10
of 65 793
pro vyhledávání: '"Browning, A."'
Publikováno v:
Phys. Plasmas 31 (2024) 102903
Quasi-periodic pulsations (QPPs) are often observed in flare emissions. While these may reveal much about the time-dependent reconnection involved in flare energy release, the underlying mechanisms are still poorly understood. In this paper, we use 2
Externí odkaz:
http://arxiv.org/abs/2410.14563
We study solutions to the equation $a+b=c$, where $a,b,c$ form a triple of coprime natural numbers. The $abc$ conjecture asserts that, for any $\epsilon>0$, such triples satisfy $\mathrm{rad}(abc) \ge c^{1-\epsilon}$ with finitely many exceptions. In
Externí odkaz:
http://arxiv.org/abs/2410.12234
A key initial step in mechanistic modelling of dynamical systems using first-order ordinary differential equations is to conduct a global structural identifiability analysis. This entails deducing which parameter combinations can be estimated from ce
Externí odkaz:
http://arxiv.org/abs/2410.03757
Autor:
Schiavo, Luiz A. C. A., Gordovskyy, Mykola, Browning, Philippa K., Silva, Suzana S. A., Verth, Gary, Ballai, Istvan, Shelyag, Sergiy, Ruzheinikov, Sergey N., McLaughlin, James A., Fedun, Viktor
Publikováno v:
ApJ 975 (2024) 45
Solar pores are ideal magnetic structures for wave propagation and transport of energy radially-outwards across the upper layers of the solar atmosphere. We aim to model the excitation and propagation of magnetohydrodynamic waves in a pore with a lig
Externí odkaz:
http://arxiv.org/abs/2409.15106
We prove upper and lower bounds on the number of pairs of commuting $n\times n$ matrices with integer entries in $[-T,T]$, as $T\to \infty$. Our work uses Fourier analysis and leads us to an analysis of exponential sums involving matrices over finite
Externí odkaz:
http://arxiv.org/abs/2409.01920
Monitoring of conflict risk in the humanitarian sector is largely based on simple historic averages. To advance our understanding, we propose Hawkes processes, a self-exciting stochastic process used to describe phenomena whereby past events increase
Externí odkaz:
http://arxiv.org/abs/2408.14940
Autor:
Browning, Tim, Verzobio, Matteo
We extend work of Heath-Brown and Salberger, based on the determinant method, to provide a uniform upper bound for the number of integral points of bounded height on an affine surface, which are subject to a polynomial congruence condition. This is a
Externí odkaz:
http://arxiv.org/abs/2408.11453
Autor:
Browning, Thomas L., Čoupek, Pavel, Eischen, Ellen, Frechette, Claire, Hong, Serin, Lee, Si Ying, Marcil, David
We introduce a method for producing vector-valued automorphic forms on unitary groups from scalar-valued ones. As an application, we construct an explicit example. Our strategy employs certain differential operators. It is inspired by work of Cl\'ery
Externí odkaz:
http://arxiv.org/abs/2408.05198
We use the circle method to prove that a density 1 of elements in $\mathbb{F}_q[t]$ are representable as a sum of three cubes of essentially minimal degree from $\mathbb{F}_q[t]$, assuming the Ratios Conjecture and that the characteristic is bigger t
Externí odkaz:
http://arxiv.org/abs/2408.03668
Autor:
Browning, Tim, Wilsch, Florian
We develop a heuristic for the density of integer points on affine cubic surfaces. Our heuristic applies to smooth surfaces defined by cubic polynomials that are log K3, but it can also be adjusted to handle singular cubic surfaces. We compare our he
Externí odkaz:
http://arxiv.org/abs/2407.16315