Tootfinder

No Bound Randomness in Quantum Nonlocality
Ravishankar Ramanathan, Yuan Liu, Yutian Wu, Stefano Pironio
https://arxiv.org/abs/2509.08623 https://arxiv.org/…

No Bound Randomness in Quantum Nonlocality
Recently it has been found that there exist maximally nonlocal quantum correlations that fail to certify randomness for any fixed input pair, rendering them useless for device-independent spot-checking randomness expansion schemes. Here we show that conversely, in DI randomness amplification protocols where all input pairs are used for randomness generation, any amount of quantum nonlocality is sufficient to certify randomness. This shows that no bound randomness exists in quantum nonlocality -…

Nonlocal Harnack inequalities for nonlocal double phase equations I ; with positive bounded modulating coefficient with no H\"older condition
Yong-Cheol Kim
https://arxiv.org/abs/2509.07433

Nonlocal Harnack inequalities for nonlocal double phase equations I ; with positive bounded modulating coefficient with no Hölder condition
In this paper, by applying the De Giorgi-Nash-Moser theory we prove nonlocal Harnack inequalities for (locally nonnegative in $Ω$) weak solutions to nolocal double phase equations \begin{equation*}\begin{cases}\cL u =0 & \text{ in $Ω$,} \\ u=g & \text{ in $\BR^n\sΩ$ } \end{cases}\end{equation*} where $Ω\subset\BR^n$ ($n\ge 2$) is a bounded domain with Lipschitz boundary, $\cL$ is the nonlocal double phase operator $\cL$ given by \begin{equation*}\begin{split}\cL u(x)=&\pv\int_{\BR^n}|u…

Now, more than ever, we need an alternative to the "like" or "favorite" (🤍,⭐) options. Something that encapsulates #Shock #Horror #Dismay

Now, more than ever, we need an alternative to the "like" or "favorite" (🤍,⭐) options. Something that encapsulates #Shock #Horror #Dismay

Observation of Crystalline Nonlocal Volume Plasmon Waves
Sathwik Bharadwaj, Makoto Schreiber, Jungho Mun, Sam Ruttiman, Pronoy Das, Misa Hayashida, Marek Malac, Peter Nordlander, Zubin Jacob
https://arxiv.org/abs/2510.07612

Observation of Crystalline Nonlocal Volume Plasmon Waves
In plasmonics, nonlocal effects arise when the material response to optical excitations is strongly dependent on the spatial correlations of the excitation. It is well known that a classical free electron gas system supports local Drude volume plasmon waves. Whereas a compressible quantum electron gas system sustains hydrodynamic volume plasmons with nonlocal dispersion isotropic across all high-symmetry directions. Here, distinct from Drude and Hydrodynamic plasmon waves, we present the first …

SIE schaut irgendeinen Bond-Film. Und ich denke mir: „Wenn Autos bei einem Zusammenstoß mit einem Baum oder einer Hauswand jedesmal sofort explodieren würden, bekämen die niemals eine TÜV-Zulassung.“

Renormalizability and nonrenormalizability of nonlocal potentials
N. Jacobi, A. M. Gasparyan, E. Epelbaum
https://arxiv.org/abs/2509.08512 https://arxiv.or…

Renormalizability and nonrenormalizability of nonlocal potentials
We consider separable toy models of the nucleon-nucleon interaction inspired by chiral effective field theory. We show that nonlocality of the long-range forces causes the need for nonlocal counter terms, or even makes the whole approach nonrenormalizable.

That's us! We're a sanctuary city/state for Texas legislators. 🫠
https://masto.ai/@Nonilex/114972444837190710

Blow-up for a Nonlocal Diffusion Equation with Time Regularly Varying Nonlinearity and Forcing
Rihab Ben Belgacem, Mohamed Majdoub
https://arxiv.org/abs/2509.07405 https://

Blow-up for a Nonlocal Diffusion Equation with Time Regularly Varying Nonlinearity and Forcing
We investigate the Cauchy problem for a semilinear parabolic equation driven by a mixed local-nonlocal diffusion operator of the form \[ \partial_t u - (Δ- (-Δ)^{\mathsf{s}})u = \mathsf{h}(t)|x|^{-b}|u|^p + t^\varrho \mathbf{w}(x), \qquad (x,t)\in \mathbb{R}^N\times (0,\infty), \] where $\mathsf{s}\in (0,1)$, $p>1$, $b\geq 0$, and $\varrho>-1$. The function $\mathsf{h}(t)$ is assumed to belong to the generalized class of regularly varying functions, while $\mathbf{w}$ is a…

Nonlocal anisotropic Riesz interactions with a physical confinement
Maria Giovanna Mora, Luca Rondi, Lucia Scardia, Edoardo Giovanni Tolotti
https://arxiv.org/abs/2507.07710

Nonlocal anisotropic Riesz interactions with a physical confinement
In this work we fully characterize, in any space dimension, the minimizer of a class of nonlocal and anisotropic Riesz energies defined over probability measures supported on ellipsoids. In the super-Coulombic and Coulombic regime, we prove that the minimizer is independent of the anisotropy. In contrast, in the sub-Coulombic regime we show that this property fails: we exhibit an example of anisotropy for which the isotropic minimizer is not optimal. In order to prove our main result, we provid…