Results 21 to 30 of about 95 (87)

The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model

Advances in Mathematical Physics, Volume 2009, Issue 1, 2009., 2009
For a system of n interacting particles moving in the background of a “homogeneous” potential, we show that if the single particle Hamiltonian admits a density of states, so does the interacting n‐particle Hamiltonian. Moreover, this integrated density of states coincides with that of the free particle Hamiltonian.
Frédéric Klopp, Heribert Zenk, Valentin Zagrebnov   +2 more
wiley   +1 more source

A Coherence Theory of Jurisprudence in the Spirit of Jhering: A Restatement, Update, and Defence of Jhering’s Early Methodology

Ratio Juris, Volume 38, Issue 3, Page 198-235, November 2025.
Abstract This essay revisits the early methodology of Rudolph von Jhering. It has often been dismissed due to its heavy metaphysics, unwieldy presentation, and alleged neglect of teleology. But a charitable reconstruction in contemporary terms reveals a coherence theory of jurisprudence that is in many ways superior to current coherence accounts.
Pascal Felix Meier
wiley   +1 more source

Schatten Class Toeplitz Operators on the Bergman Space

International Journal of Mathematics and Mathematical Sciences, Volume 2009, Issue 1, 2009., 2009
We have shown that if the Toeplitz operator Tϕ on the Bergman space La2(𝔻) belongs to the Schatten class Sp, 1 ≤ p < ∞, then ϕ˜∈Lp(𝔻,dλ), where ϕ˜ is the Berezin transform of ϕ,dλ(z)=dA(z)/(1−|z|2)2, and dA(z) is the normalized area measure on the open unit disk 𝔻. Further, if ϕ ∈ Lp(𝔻, dλ) then ϕ˜∈Lp(𝔻,dλ) and Tϕ ∈ Sp. For certain subclasses of L∞(𝔻),
Namita Das, Palle Jorgensen
wiley   +1 more source

The conservative Camassa–Holm flow with step‐like irregular initial data

Proceedings of the London Mathematical Society, Volume 130, Issue 5, May 2025.
Abstract We extend the inverse spectral transform for the conservative Camassa–Holm flow on the line to a class of initial data that requires strong decay at one endpoint but only mild boundedness‐type conditions at the other endpoint. The latter condition appears to be close to optimal in a certain sense for the well‐posedness of the conservative ...
Jonathan Eckhardt, Aleksey Kostenko
wiley   +1 more source

Schatten Index of the Sectorial Operator via the Real Component of Its Inverse

Mathematics
In this paper, we study spectral properties of non-self-adjoint operators with the discrete spectrum. The main challenge is to represent a complete description of belonging to the Schatten class through the properties of the Hermitian real component. The
Maksim V. Kukushkin
doaj   +1 more source

Boundary Strichartz estimates and pointwise convergence for orthonormal systems

Transactions of the London Mathematical Society, Volume 11, Issue 1, December 2024.
Abstract We consider maximal estimates associated with fermionic systems. Firstly, we establish maximal estimates with respect to the spatial variable. These estimates are certain boundary cases of the many‐body Strichartz estimates pioneered by Frank, Lewin, Lieb and Seiringer.
Neal Bez, Shinya Kinoshita, Shobu Shiraki   +2 more
wiley   +1 more source

On the power of quantum entanglement in multipartite quantum XOR games

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract We show that, given k⩾3$k\geqslant 3$, there exist k$k$‐player quantum XOR games for which the entangled bias can be arbitrarily larger than the bias of the game when the players are restricted to separable strategies. In particular, quantum entanglement can be a much more powerful resource than local operations and classical communication to ...
Marius Junge, Carlos Palazuelos
wiley   +1 more source

Pointwise eigenvector estimates by landscape functions: Some variations on the Filoche–Mayboroda–van den Berg bound

Mathematische Nachrichten, Volume 297, Issue 5, Page 1749-1771, May 2024.
Abstract Landscape functions are a popular tool used to provide upper bounds for eigenvectors of Schrödinger operators on domains. We review some known results obtained in the last 10 years, unify several approaches used to achieve such bounds, and extend their scope to a large class of linear and nonlinear operators. We also use landscape functions to
Delio Mugnolo
wiley   +1 more source

Preserver Problems on Function Spaces, Operator Algebras, and Related Topics

, 2014
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014.
Antonio M. Peralta, Chi-Keung Ng, Ngai-Ching Wong, Jen-Chih Yao   +3 more
wiley   +1 more source

Some Spectral Problems for First-Order Normal Differential Operators in the Weighted Hilbert Spaces of Vector Functions

Mathematics
In this article, in order for the minimal operator generated by the first-order differential-operator expression in the weighted Hilbert space of vector functions in the finite interval to be formal normal, the relationship between the variable operator ...
Zameddin I. Ismailov, Pembe Ipek Al, Mohammad Sababheh   +2 more
doaj   +1 more source