Top 10 Arxiv Papers Today

#1. Optimal Learning Dynamics of Multi Agents in Restless Multiarmed Bandit Game
Kazuaki Nakayama, Ryuzo Nakamura, Masato Hisakado, Shintaro Mori
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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Authors: 4
Total Words: 7690
Unqiue Words: 1993

#2. Quark mass effects in two-loop Higgs amplitudes
Charalampos Anastasiou, Nicolas Deutschmann, Armin Schweitzer
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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Authors: 3
Total Words: 12280
Unqiue Words: 2822

#3. Coupling constant dependence for the Schrödinger equation with an inverse-square potential
A. G. Smirnov
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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Authors: 1
Total Words: 23438
Unqiue Words: 3184

#4. Gravitational AdS to dS phase transition in Einstein-Maxwell-Gauss-Bonnet gravity
Daris Samart, Phongpichit Channuie
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

#5. On the Kahler-Ricci flow on Fano manifolds
Bin Guo, Duong H. Phong, Jacob Sturm
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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Authors: 3
Total Words: 2600
Unqiue Words: 871

#6. Atomistic origins of continuum dislocation dynamics
Thomas Hudson, Patrick van Meurs, Mark A. Peletier
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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Authors: 3
Total Words: 24157
Unqiue Words: 3966

#7. Integrated Supervised Adaptive Control for the More Electric Aircraft
Alberto Cavallo, Giacomo Canciello, Antonio Russo
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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Authors: 3
Total Words: 9724
Unqiue Words: 2580

#8. Random singlet state in Ba$_5$CuIr$_3$O$_{12}$ single crystals
Pavel A. Volkov, Choong-Jae Won, D. I. Gorbunov, Jae-Wook Kim, Mai Ye, Heung-Sik Kim, J. H. Pixley, Sang-Wook Cheong, G. Blumberg
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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Authors: 9
Total Words: 7898
Unqiue Words: 2421

#9. Higher order curvature flows of plane curves with generalised Neumann boundary conditions
James McCoy, Glen Wheeler, Yuhan Wu
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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Authors: 3
Total Words: 8420
Unqiue Words: 1421

#10. H$α$ kinematics of the isolated interacting galaxy pair KPG 486 (NGC 6090)
M. M. Sardaneta, M. Rosado, M. Sánchez-Cruces
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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Authors: 3
Total Words: 10235
Unqiue Words: 2480

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