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Approximation Algorithms for Complex-Valued Ising Models on Bounded Degree Graphs [PDF]
Quantum, 2019 We study the problem of approximating the Ising model partition function with complex parameters on bounded degree graphs. We establish a deterministic polynomial-time approximation scheme for the partition function when the interactions and external ...
Ryan L. Mann, Michael J. Bremner
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Frontiers in Neurorobotics, 2021 In this paper, we design a robust model predictive control (MPC) controller for vehicle subjected to bounded model uncertainties, norm-bounded external disturbances and bounded time-varying delay. A Lyapunov-Razumikhin function (LRF) is adopted to ensure
Wenjun Liu +3 more
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Density Bounds for Euler's Function [PDF]
Mathematics of Computation, 1972 Let φ \varphi be Euler’s function. Upper and lower bounds are presented for D ( x ) D(x) , the density of the integers n n for which φ ( n ) / n ≦ x \varphi (n)/n \leqq x . The bounds,
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Bounds for automorphicL-functions
Inventiones Mathematicae, 1993 Consider a Dirichlet character \(\chi\) of modulus \(q\) and the automorphic \(L\)-function obtained on twisting by \(\chi\) an arbitrary holomorphic cusp form \(f\) of weight \(k\) for the full modular group (although it is stated by the authors that the method of the paper applies more generally).
Iwaniec, H., Duke, W., Frielander, J.
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Small values of the Euler function and the Riemann hypothesis
, 2012 Let $\vfi$ be Euler's function, $\ga$ be Euler's constant and $N_k$ be the product of the first $k$ primes. In this article, we consider the function $c(n) =(n/\vfi(n)-e^\ga\log\log n)\sqrt{\log n}$. Under Riemann's hypothesis, it is proved that $c(N_k)$
Nicolas, Jean-Louis
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Coefficient bounds for convex functions of bounded type [PDF]
Proceedings of the American Mathematical Society, 1988 A normalized univalent function is called convex of bounded type if the curvature of the curve bounding the image domain of the unit disc lies between two fixed positive numbers. Sharp bounds for the modulus of the second and the third Taylor coefficient of such functions are derived.
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Generation of subordinated holomorphic semigroups via Yosida's theorem
, 2014 Using functional calculi theory, we obtain several estimates for $\|\psi(A)g(A)\|$, where $\psi$ is a Bernstein function, $g$ is a bounded completely monotone function and $-A$ is the generator of a holomorphic $C_0$-semigroup on a Banach space, bounded ...
Gomilko, Alexander, Tomilov, Yuri
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Mapping the evolution of mitochondrial complex I through structural variation
FEBS Letters, EarlyView.Respiratory complex I (CI) is crucial for bioenergetic metabolism in many prokaryotes and eukaryotes. It is composed of a conserved set of core subunits and additional accessory subunits that vary depending on the organism. Here, we categorize CI subunits from available structures to map the evolution of CI across eukaryotes. Respiratory complex I (CI)
Dong‐Woo Shin +2 more
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Sheaf cohomology with bounds and bounded holomorphic functions [PDF]
Proceedings of the American Mathematical Society, 1969 Suppose U is the unit disc in C. For O r }. A subvariety V of pure codimension 1 in UN is called a Rudin subvariety if for some r VnQN= 0. A Rudin subvariety is called a special Rudin subvariety if there is >0 such that, for 1 a. If a holomorphic function f generates the ideal-sheaf of its zero-set E, then we write Z(f) = E.
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The group reduction for bounded cosine functions on UMD spaces
, 2007 It is shown that if A generates a bounded cosine operator function on a UMD space X, then i(-A)^{1/2} generates a bounded C_0-group.
Haase, Markus
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