Zobrazeno 1 - 10
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pro vyhledávání: '"Hindes A"'
Autor:
Hindes, Jason, Schwartz, Ira B.
Publikováno v:
Phys. Rev. E 110, 054120 (2024)
Random perturbations and noise can excite instabilities in population systems that result in large fluctuations. An interesting example involves class B lasers, where the dynamics is determined by the number of carriers and photons in a cavity with n
Externí odkaz:
http://arxiv.org/abs/2410.16437
Autor:
Doyle, John R., Hindes, Wade
Let $K$ be a function field of characteristic $p\geq0$ or a number field over which the $abc$ conjecture holds, and let $\phi(x)=x^d+c \in K[x]$ be a unicritical polynomial of degree $d\geq2$ with $d \not\equiv 0,1\pmod{p}$. We completely classify al
Externí odkaz:
http://arxiv.org/abs/2408.14657
Let $p$ be a prime number and let $S=\{x^p+c_1,\dots,x^p+c_r\}$ be a finite set of unicritical polynomials for some $c_1,\dots,c_r\in\mathbb{Z}$. Moreover, assume that $S$ contains at least one irreducible polynomial over $\mathbb{Q}$. Then we constr
Externí odkaz:
http://arxiv.org/abs/2308.14202
We study the effect of noisy infection (contact) and recovery rates on the distribution of outbreak sizes in the stochastic SIR model. The rates are modeled as Ornstein-Uhlenbeck processes with finite correlation time and variance, which we illustrat
Externí odkaz:
http://arxiv.org/abs/2308.13439
Oscillatory networks subjected to noise are broadly used to model physical and technological systems. Due to their nonlinear coupling, such networks typically have multiple stable and unstable states that a network might visit due to noise. In this m
Externí odkaz:
http://arxiv.org/abs/2308.13434
We consider the problem of characterizing the dynamics of interacting swarms after they collide and form a stationary center of mass. Modeling efforts have shown that the collision of near head-on interacting swarms can produce a variety of post-coll
Externí odkaz:
http://arxiv.org/abs/2306.00994
We improve known estimates for the number of points of bounded height in semigroup orbits of polarized dynamical systems. In particular, we give exact asymptotics for generic semigroups acting on the projective line. The main new ingredient is the Wi
Externí odkaz:
http://arxiv.org/abs/2305.04960
Autor:
Hindes, Wade, Silverman, Joseph H.
Publikováno v:
Pacific J. Math. 325 (2023) 281-297
Let $V$ be a projective variety defined over a number field $K$, let $S$ be a polarized set of endomorphisms of $V$ all defined over $K$, and let $P\in V(K)$. For each prime $\mathfrak{p}$ of $K$, let $m_{\mathfrak{p}}(S,P)$ denote the number of poin
Externí odkaz:
http://arxiv.org/abs/2303.14819
Understanding the spread of diseases through complex networks is of great interest where realistic, heterogeneous contact patterns play a crucial role in the spread. Most works have focused on mean-field behavior -- quantifying how contact patterns a
Externí odkaz:
http://arxiv.org/abs/2211.02917
Autor:
Hindes, Wade
Let $\phi(z)$ be a non-isotrivial rational function in one-variable with coefficients in $\overline{\mathbb{F}}_p(t)$ and assume that $\gamma\in\mathbb{P}^1(\overline{\mathbb{F}}_p(t))$ is not a post-critical point for $\phi$. Then we prove that the
Externí odkaz:
http://arxiv.org/abs/2209.09182