Sample path properties and small ball probabilities for stochastic fractional diffusion equations

Kavli Affiliate: Ran Wang | First 5 Authors: Yuhui Guo, Jian Song, Ran Wang, Yimin Xiao, | Summary: We consider the following stochastic space-time fractional diffusion equation with vanishing initial condition:$$ partial^{beta} u(t, x)=- left(-Deltaright)^{alpha / 2} u(t, x)+ I_{0+}^{gamma}left[dot{W}(t, x)right],quad tin[0,T],: x in mathbb{R}^d,$$ where $alpha>0$, $betain(0,2)$, $gammain[0,1)$, $left(-Deltaright)^{alpha/2}$ is the fractional/power of Laplacian […]


Continue.. Sample path properties and small ball probabilities for stochastic fractional diffusion equations

Multiwavelength Afterglow Analysis of GRB 221009A: Unveiling the Evolution of a Cooling Break in a Wind-like Medium

Kavli Affiliate: Nicola Omodei | First 5 Authors: Donggeun Tak, Z. Lucas Uhm, Gregory S. H. Paek, Myungshin Im, Makoto Arimoto | Summary: Gamma-ray bursts (GRBs) are the most energetic explosions in the universe, and their afterglow emission provides an opportunity to probe the physics of relativistic shock waves in an extreme environment. Several key […]


Continue.. Multiwavelength Afterglow Analysis of GRB 221009A: Unveiling the Evolution of a Cooling Break in a Wind-like Medium

Multiwavelength Afterglow Analysis of GRB 221009A: Unveiling the Evolution of a Cooling Break in a Wind-like Medium

Kavli Affiliate: Nicola Omodei | First 5 Authors: Donggeun Tak, Z. Lucas Uhm, Gregory S. H. Paek, Myungshin Im, Makoto Arimoto | Summary: Gamma-ray bursts (GRBs) are the most energetic explosions in the universe, and their afterglow emission provides an opportunity to probe the physics of relativistic shock waves in an extreme environment. Several key […]


Continue.. Multiwavelength Afterglow Analysis of GRB 221009A: Unveiling the Evolution of a Cooling Break in a Wind-like Medium

A Novel Density Profile for Isothermal Cores of Dark Matter Halos

Kavli Affiliate: Mark Vogelsberger | First 5 Authors: Vinh Tran, Xuejian Shen, Mark Vogelsberger, Daniel Gilman, Stephanie O’Neil | Summary: We present a novel density profile for halos in self-interacting dark matter (SIDM) models, which accurately captures the flat- and isothermal-core configurations. We show analytically how our density profile satisfies these conditions, with comparisons to […]


Continue.. A Novel Density Profile for Isothermal Cores of Dark Matter Halos

A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

Kavli Affiliate: Moritz Guenther | First 5 Authors: Sean J. Gunderson, David P. Huenemoerder, José M. Torrejón, Dustin K. Swarm, Joy S. Nichols | Summary: We investigated the temporal and spectral features of $gamma$ Cassiopeiae’s X-ray emission within the context of the white dwarf accretion hypothesis. We find that the variabilities present in the X-ray […]


Continue.. A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

Kavli Affiliate: David P. Huenemoerder | First 5 Authors: Sean J. Gunderson, David P. Huenemoerder, José M. Torrejón, Dustin K. Swarm, Joy S. Nichols | Summary: We investigated the temporal and spectral features of $gamma$ Cassiopeiae’s X-ray emission within the context of the white dwarf accretion hypothesis. We find that the variabilities present in the […]


Continue.. A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

Kavli Affiliate: David P. Huenemoerder | First 5 Authors: Sean J. Gunderson, David P. Huenemoerder, José M. Torrejón, Dustin K. Swarm, Joy S. Nichols | Summary: We investigated the temporal and spectral features of $gamma$ Cassiopeiae’s X-ray emission within the context of the white dwarf accretion hypothesis. We find that the variabilities present in the […]


Continue.. A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

Kavli Affiliate: David P. Huenemoerder | First 5 Authors: Sean J. Gunderson, David P. Huenemoerder, José M. Torrejón, Dustin K. Swarm, Joy S. Nichols | Summary: We investigated the temporal and spectral features of $gamma$ Cassiopeiae’s X-ray emission within the context of the white dwarf accretion hypothesis. We find that the variabilities present in the […]


Continue.. A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

Kavli Affiliate: David P. Huenemoerder | First 5 Authors: Sean J. Gunderson, David P. Huenemoerder, José M. Torrejón, Dustin K. Swarm, Joy S. Nichols | Summary: We investigated the temporal and spectral features of $gamma$ Cassiopeiae’s X-ray emission within the context of the white dwarf accretion hypothesis. We find that the variabilities present in the […]


Continue.. A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae

Kavli Affiliate: David P. Huenemoerder | First 5 Authors: Sean J. Gunderson, David P. Huenemoerder, José M. Torrejón, Dustin K. Swarm, Joy S. Nichols | Summary: We investigated the temporal and spectral features of $gamma$ Cassiopeiae’s X-ray emission within the context of the white dwarf accretion hypothesis. We find that the variabilities present in the […]


Continue.. A Time-Dependent Spectral Analysis of $γ$ Cassiopeiae