Social learning is learning through the observation of or interaction with
other individuals; it is critical in the understanding of the collective
behaviors of humans in social physics. We study the learning process of agents
in a restless multiarmed bandit (rMAB). The binary payoff of each arm changes
randomly and agents maximize their payoffs by exploiting an arm with payoff 1,
searching the arm at random (individual learning), or copying an arm exploited
by other agents (social learning). The system has Pareto and Nash equilibria in
the mixed strategy space of social and individual learning. We study several
models in which agents maximize their expected payoffs in the strategy space,
and demonstrate analytically and numerically that the system converges to the
equilibria. We also conducted an experiment and investigated whether human
participants adopt the optimal strategy. In this experiment, three participants
play the game. If the reward of each group is proportional to the sum of the
payoffs, the median of the social...

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Total Words: 7690

Unqiue Words: 1993

We provide two two-loop amplitudes relevant for precision Higgs physics. The
first is the two-loop amplitude for Higgs boson production through gluon fusion
with exact dependence on the top quark mass up to squared order in the
dimensional regulator $\epsilon$. The second result we provide is the two-loop
amplitude for the decay of a Higgs boson into a pair of massive bottom quarks
through the Higgs-to-gluon coupling in the infinite top mass limit. Both
amplitudes are computed by finding canonical bases of master integrals, which
we evaluate explicitly in terms of harmonic polylogarithms. We obtain the bare,
renormalized and IR-subtracted amplitude and provide the results in terms of
building blocks suitable to changing renormalization schemes.

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jcovers96:
RT @HEPPhenoPapers: Quark mass effects in two-loop Higgs amplitudes. https://t.co/dd6CMjSSDO

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We consider the one-dimensional Schr\"odinger equation $-f''+q_\alpha f = Ef$
on the positive half-axis with the potential $q_\alpha(r)=(\alpha-1/4)r^{-2}$.
It is known that the value $\alpha=0$ plays a special role in this problem: all
self-adjoint realizations of the formal differential expression $-\partial^2_r
+ q_\alpha(r)$ for the Hamiltonian have infinitely many eigenvalues for
$\alpha<0$ and at most one eigenvalue for $\alpha\geq 0$. For each complex
number $\vartheta$, we construct a solution $\mathcal U^\alpha_\vartheta(E)$ of
this equation that is entire analytic in $\alpha$ and, in particular, is not
singular at $\alpha = 0$. For $\alpha<1$ and real $\vartheta$, the solutions
$\mathcal U^\alpha_\vartheta(E)$ determine a unitary eigenfunction expansion
operator $U_{\alpha,\vartheta}\colon L_2(0,\infty)\to L_2(\mathbb R,\mathcal
V_{\alpha,\vartheta})$, where $\mathcal V_{\alpha,\vartheta}$ is a positive
measure on $\mathbb R$. We show that each operator $U_{\alpha,\vartheta}$
diagonalizes a certain self-adjoint...

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MathPHYPapers:
Coupling constant dependence for the Schr\"odinger equation with an inverse-square potential. https://t.co/vTCwTIE4aP

mathMPb:
A.G. Smirnov : Coupling constant dependence for the Schrödinger equation with an inverse-square potential https://t.co/04ODRXe3a3 https://t.co/x6lWmzNjXZ

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Unqiue Words: 3184

In this work, we revisit a toy model proposed by Camanho {\it et.al.} [JHEP
10 (2015) 179] and extensively study the possible existence of gravitational
phase transition from AdS to dS geometries by adding the Maxwell field as an
impurity substitution. We show that the phase transitions proceed via the
bubble nucleation of spherical thin-shells described by different branches of
the solution which host a black hole in the interior. In order to demonstrate
the existence of the phase transition, we examine how the free energy and
temperature depend on the higher-order gravity coupling $(\lambda)$ indicating
the possibility of thermalon mediated phase transition. We observe that the
phase transitions of the charged case is possible in which the required
(maximum) temperature is lower than that of the neutral case. Interestingly, we
also discover that the critical temperature and the coupling $\lambda$ of the
phase transitions are modified when having the charge. In addition, our results
agree with the claim that the generalized...

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TheoryPapers:
Gravitational AdS to dS phase transition in Einstein-Maxwell-Gauss-Bonnet gravity. https://t.co/YRAM12RiS7

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Authors: 2

Total Words: 8692

Unqiue Words: 1892

A short proof of the convergence of the Kahler-Ricci flow on Fano manifolds
admitting a Kahler-Einstein metric or a Kahler-Ricci soliton is given, using a
variety of recent techniques

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mathDGb:
Bin Guo, Duong H. Phong, Jacob Sturm : On the Kahler-Ricci flow on Fano manifolds https://t.co/tvsXh7oC8d https://t.co/nBoyVjpniK

Lbfuvab:
RT @mathDGb: Bin Guo, Duong H. Phong, Jacob Sturm : On the Kahler-Ricci flow on Fano manifolds https://t.co/tvsXh7oC8d https://t.co/nBoyVjp…

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This paper focuses on the connections between four stochastic and
deterministic models for the motion of straight screw dislocations. Starting
from a description of screw dislocation motion as interacting random walks on a
lattice, we prove explicit estimates of the distance between solutions of this
model, an SDE system for the dislocation positions, and two deterministic
mean-field models describing the dislocation density. The proof of these
estimates uses a collection of various techniques in analysis and probability
theory, including a novel approach to establish propagation-of-chaos on a
spatially discrete model. The estimates are non-asymptotic and explicit in
terms of four parameters: the lattice spacing, the number of dislocations, the
dislocation core size, and the temperature. This work is a first step in
exploring this parameter space with the ultimate aim to connect and quantify
the relationships between the many different dislocation models present in the
literature.

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The innovative concept of Electric Aircraft is a challenging topic involving
different control objectives. For instance, it becomes possible to reduce the
size and the weight of the generator by using the battery as an auxiliary
generator in some operation phases. However, control strategies with different
objectives can be conflicting and they can produce undesirable effects, even
instability. For this reason an integrated design approach is needed, where
stability can be guaranteed in any configuration. In other words, the design of
the supervisory controller must be interlaced with that of low-level
controllers. Moreover, uncertainties and noisy signals require robust control
techniques and the use of adaptiveness in the control algorithm. In this paper,
an aeronautic application aiming at recharging batteries and to use the battery
to withstand generator overloads is addressed. Detailed and rigorous stability
proofs are given for any control configuration, including the switching phases
among different control objectives....

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Total Words: 9724

Unqiue Words: 2580

We study the thermodynamic and high-magnetic-field properties of the magnetic
insulator Ba$_5$CuIr$_3$O$_{12}$, which shows no magnetic order down to 2 K
consistent with a spin liquid ground state. While the temperature dependence of
the magnetic susceptibility and the specific heat shows only weak
antiferromagnetic correlations, we find that the magnetization does not
saturate up to a field of 59 Tesla, leading to an apparent contradiction. We
demonstrate that the paradox can be resolved, and all of the experimental data
can be consistently described within the framework of random singlet states. We
demonstrate a generic procedure to derive the exchange coupling distribution
$P(J)$ from the magnetization measurements and use it to show that the
experimental data is consistent with the power-law form $P(J)\sim J^{-\alpha}$
with $\alpha \approx 0.6 $. Thus, we reveal that high-magnetic-field
measurements can be essential to discern quantum spin liquid candidates from
disorder dominated states that do not exhibit long-range order.

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CondensedPapers:
Random singlet state in Ba$_5$CuIr$_3$O$_{12}$ single crystals. https://t.co/CohorXQPog

ultimatile:
RT @CondensedPapers: Random singlet state in Ba$_5$CuIr$_3$O$_{12}$ single crystals. https://t.co/CohorXQPog

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Total Words: 7898

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We consider the parabolic polyharmonic diffusion and $L^2$-gradient flows of
the $m$-th arclength derivative of curvature for regular closed curves evolving
with generalised Neumann boundary conditions. In the polyharmonic case, we
prove that if the curvature of the initial curve is small in $L^2$, then the
evolving curve converges exponentially in the $C^\infty$ topology to a straight
horizontal line segment. The same behaviour is shown for the $L^2$-gradient
flow provided the energy of the initial curve is sufficiently small. In each
case the smallness conditions depend only on $m$.

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In optical images, the not amply studied isolated interacting galaxy pair KPG
486 (NGC 6090) displays similar features to the galaxy pair The Antennae (NGC
4038/39). To compare the distribution of ionized hydrogen gas, morphology and
kinematic and dynamic behaviour between both galaxy pairs, we present
observations in the H$\alpha$ emission line of NGC 6090 acquired with the
scanning Fabry-Perot interferometer, PUMA. For each galaxy in NGC 6090 we
obtained several kinematic parameters, its velocity field and its rotation
curve, we also analysed some of the perturbations induced by their encounter.
We verified the consistency of our results by comparing them with kinematic
results from the literature. The comparison of our results on NGC 6090 with
those obtained in a previous similar kinematic analysis made for The Antennae
highlighted great differences between these galaxy pairs.

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Total Words: 10235

Unqiue Words: 2480

Assert is a website where the best academic papers on arXiv (computer science, math, physics), bioRxiv (biology), BITSS (reproducibility), EarthArXiv (earth science), engrXiv (engineering), LawArXiv (law), PsyArXiv (psychology), SocArXiv (social science), and SportRxiv (sport research) bubble to the top each day.

Papers are scored (in real-time) based on how verifiable they are (as determined by their Github repos) and how interesting they are (based on Twitter).

To see top papers, follow us on twitter @assertpub_ (arXiv), @assert_pub (bioRxiv), and @assertpub_dev (everything else).

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