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Amplitude maximization in stable systems, Schur positivity, and some conjectures on polynomial interpolation
Dmitrii M. Ostrovskii, Pavel S. Shcherbakov
https://arxiv.org/abs/2508.13554

Amplitude maximization in stable systems, Schur positivity, and some conjectures on polynomial interpolation
For $r > 0$ and integers $t \ge n > 0$, we consider the following ``amplitude maximization'' problem: maximize the quantity $|x_t|$ over the set of complex solutions $x = (x_0, x_1, \dots)$ of all homogeneous linear difference equations of order $n$ with the roots of characteristic polynomial in the disc $\{z \in \mathbb{C}: |z| \le r\}$, and with initial values $x_0, \dots, x_{n-1}$ in the unit disc. We find that for any $t,n,r$, the maximum is attained in the case of coinc…

Quantum Monte Carlo study of artificial triangular graphene quantum dots
E. Bulut Kul, G\"okhan \"Oztarhan, M. N. \c{C}{\i}nar, A. D. G\"u\c{c}l\"u
https://arxiv.org/abs/2506.08621

Quantum Monte Carlo study of artificial triangular graphene quantum dots
We investigate the magnetic phases of triangular graphene quantum dots (TGQDs) with zigzag edges using variational and quantum Monte Carlo methods. These systems serve as quantum simulators for bipartite lattices with broken sublattice symmetry, providing a platform to study the extended Hubbard model's emergent magnetic phenomena, including Lieb's magnetism at half-filling, edge depolarization upon single-electron addition, and Nagaoka ferromagnetism. Our non-perturbative quantum…

Revisiting Ostrowski's Inequality
Angshuman R. Goswami
https://arxiv.org/abs/2508.00854 https://arxiv.org/pdf/2508.00854…

Revisiting Ostrowski's Inequality
The main objective of this paper is to present Ostrowski's inequality for a broader class of functions and to propose a refinement to the classical version of it. The original Ostrowski's inequality can be stated as follows "If $f:[a,b]\to\mathbb{R}$ is differentiable and $f'\in L^{\infty}[a, b]$, then for any $p\in\,]a,b[\,$, the following functional inequality holds: \begin{equation*} \Bigg|f(p)-\dfrac{1}{b-a}\int_{a}^{b}f(t)\,dt\Bigg|\leq \dfrac{(p-a)^2+(b-p)^2}{2(b-a)}\Big\|…

Multi-messenger dynamic imaging of laser-driven shocks in water using a plasma wakefield accelerator
Mario D. Balcazar, Hai-En Tsai, Tobias Ostermayr, Paul T. Campbell, Qiang Chen, Cary Colgan, Gillis M. Dyer, Zachary Eisentraut, Eric Esarey, Cameron G. R. Geddes, Benjamin Greenwood, Anthony Gonsalves, Sahel Hakimi, Robert Jacob, Brendan Kettle, Paul King, Karl Krushelnick, Nuno Lemos, Eva Los, Yong Ma, Stuart P. D. Mangles, John Nees, Isabella M. Pagano, Carl Schroeder, Raspberry Simp…

Multi-messenger dynamic imaging of laser-driven shocks in water using a plasma wakefield accelerator
Understanding dense matter hydrodynamics is critical for predicting plasma behavior in environments relevant to laser-driven inertial confinement fusion. Traditional diagnostic sources face limitations in brightness, spatiotemporal resolution, and inability to detect relevant electromagnetic fields. In this work, we present a dual-probe, multi-messenger laser wakefield accelerator platform combining ultrafast X-rays and relativistic electron beams at 1 Hz, to interrogate a free-flowing water ta…

X-ray diffraction from smectic multilayers: crossover from kinematical to dynamical regime
V. V. Samsonov, K. V. Nikolaev, B. I. Ostrovskii, S. N. Yakunin
https://arxiv.org/abs/2505.23547

X-ray diffraction from smectic multilayers: crossover from kinematical to dynamical regime
We study X-ray diffraction in smectic liquid crystal multilayers. Such systems are fabricated as freely suspended films and have a unique layered structure. As such, they can be described as organic Bragg mirrors with sub-nanometer roughness. However, an interesting peculiarity arises in the diffraction on these structures: the characteristic shape of diffraction peaks associated with dynamical scattering effects is not observed. Instead, the diffraction can be well described kinematically, whi…