OOIR: Observatory of International Research

Papers

(The median citation count of Infinite Dimensional Analysis Quantum Probability and Related Topics is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)

Article	Citations
Full error analysis for the training of deep neural networks	11
On stopping rules for tree-indexed quantum Markov chains	6
Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation	4
Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations	4
Characterization of Gaussian quantum Markov semigroups	4
Universality theorems for asymmetric spaces	4
Quantum Wasserstein distance of order 1 between channels	4
Path independence of the additive functionals for McKean–Vlasov stochastic differential equations with jumps	4
Quantum Aitchison geometry	4
Sensitivity analysis in the infinite dimensional Heston model	4
Stochastic version of Henry type Gronwall’s inequality	4
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces	4
Equilibrium statistical mechanics of barotropic quasi-geostrophic equations	3
White noise delta functions and infinite-dimensional Laplacians	3
Generalized Bernoulli Wick differential equation	3
Relative entropy via distribution of observables	3
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions	3
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	3
Quadratic-exponential functionals of Gaussian quantum processes	3
On operator-valued infinitesimal Boolean and monotone independence	2
On irreducibility of Gaussian quantum Markov semigroups	2
Regularization of cylindrical processes in locally convex spaces	2
Combinatorics of NC-probability spaces with independent constants	2
Sufficient statistic and Rao–Blackwell theorem in quantum probability	2
Matrix-valued Schrödinger operators over finite adeles	2

The category of compact quantum metric spaces	2
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	2
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	1
Strong 1-boundedness of unimodular orthogonal free quantum groups	1
A stochastic convolution integral inequality	1
Free CIR processes	1
Hafnian point processes and quasi-free states on the CCR algebra	1
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	1
Some noncommutative subsequential weighted individual ergodic theorems	1
Positivity of Gibbs states on distance-regular graphs	1
The Stockwell transform on locally compact abelian groups	1
Computation of sandwiched relative α-entropy of two n-mode Gaussian states	1
On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	1
Twisted convolution quantum information channels, one-parameter semigroups and their generators	1
Uniqueness and superposition of the space-distribution-dependent Zakai equations	1
On the non-commutative multifractional Brownian motion	1
A note concerning Marcinkiewicz integral with rough kernel	1
New class of Gibbs measures for two-state hard-core model on a Cayley tree	1
Causal perturbative QFT and white noise	1
A note on matrix-valued orthonormal bases over LCA groups	1
Higher energy state approximations in the “Many interacting worlds” model	0
A Feynman–Kac formula for magnetic monopoles	0
Preface	0
On matrix-valued Gabor frames over locally compact abelian groups	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0
Entropy exchange and coherent information based on local quantum Bernoulli noises	0
The average values of a kind of functionals in LP and concentration without measure	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
Operator-valued Gaussian processes and their covariance kernels	0
Large deviations for stochastic models of two-dimensional second grade fluids driven by Lévy Noise	0
Non-commutative stochastic processes with independent increments	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0
Generalized fractional Lévy–Meixner Appell polynomials in infinite dimensions	0
Finitely generated weakly monotone C∗-algebra	0
Ground state of one-dimensional Fermion–Phonon systems	0
Remarks on CCR and CAR flows over closed convex cones	0
Schur–Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability	0
Ergodic theorems for higher order Cesàro means	0
Stochastic approximation in infinite dimensions	0
Dissipative dynamics for infinite lattice systems	0
Quantum symmetry in multigraphs (part II)	0
Quantum analogues of white noise delta functions	0
Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	0
Combinatorial aspects of weighted free Poisson random variables	0
Quantum properties of classical Pearson random variables	0
Operator-valued infinitesimal multiplicative convolutions	0
A lower bound estimate of life span of solutions to stochastic 3D Navier–Stokes equations with convolution-type noise	0
Quasi-invariant states	0

Block quantum dynamical semigroups of completely positive definite kernels	0
A Feynman–Kac approach for the spatial derivative of the solution to the Wick stochastic heat equation driven by time homogeneous white noise	0
Algebraic Hidden processes and Hidden Markov processes	0
Ergodic decomposition in the space of unital completely positive maps	0
On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications	0
Motzkin path decompositions of functionals in noncommutative probability	0
Author index (Vol. 26)	0
Continuous Krishna–Parthasarathy entropic uncertainty principle	0
Stochastic quantization of laser propagation models	0
Lp-Theory for the fractional time stochastic heat equation with an infinite-dimensional fractional Brownian motion	0
Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940–2021)	0
Algebraic Central Limit Theorems: A Personal View on One of Wilhelm's Legacies	0
Rates of convergence for laws of the spectral maximum of free random variables	0
A note on the infinite-dimensional quantum Strassen’s theorem	0
Backward stochastic evolution inclusions in UMD Banach spaces	0
An L2-approximation method for construction and smoothing estimates of Markov semigroups for interacting diffusion processes on a lattice	0
A note on invariant states of Gaussian quantum Markov semigroups	0
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	0
From the Choi formalism in infinite dimensions to unique decompositions of generators of completely positive dynamical semigroups	0
Author index (Vol. 23)	0
Frame-cyclic operators and their properties	0
Bi-free probability theory and reflection positivity	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0
Characters of infinite-dimensional quantum classical groups: BCD cases	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
Noncommutative quantum decomposition of Gegenbauer white noise process	0
Hamiltonian of free field on infinite-dimensional hypercube	0
Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
Wong–Zakai approximations for quasilinear systems of Itô's-type stochastic differential equations driven by fBm with H > 1 2	0
Algebraic groups in non-commutative probability theory revisited	0
Hidden quantum Markov processes	0
Partial isometries between Hilbert modules and their compositions	0
Two-dimensional quantum Bernoulli process and the related central limit theorem	0
Anticipating quantum stochastic integrals	0
A new construction of shearlets	0
An extension of Krishnan’s central limit theorem to the Brown–Thompson groups	0
A characterization of Riesz-dual sequences which are near-Markushevich bases	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
A white noise approach to stochastic currents of Brownian motion	0
On the Bogolyubov endomorphisms of the renormalized square of white noise algebra	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
Quantum Ising model with generalized competingXY-interactions on a Cayley tree	0
The structure of entrance laws for time-inhomogeneous Ornstein–Uhlenbeck processes with Lévy noise in Hilbert spaces	0
Schrödinger dynamics and optimal transport of measures	0
Stochastic integrals and Gelfand integration in Fréchet spaces	0
Meixner random variables and their quantum operators	0
Effects of permutation functions on woven and non-woven frames	0
Functions with image in a strip	0
Author index (Vol. 25)	0
Some strong limit theorems for weighted sums of measurable operators	0
Herglotz’s representation for operator valued functions and the spectral theorem for unitary operators	0
On irreducibility and positivity improvement of norm continuous quantum Markov semigroups	0
A note on the rate of convergence in the Boolean central limit theorem	0
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski	0
On the p-Adic analog of Richards’ equation with the finite difference method	0
Author index (Vol. 24)	0
On the generalization of moyal equation for an arbitrary linear quantization	0
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	0
Useful variants and perturbations of completely entangled subspaces and spans of unextendible product bases	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	0
On near-martingales and a class of anticipating linear stochastic differential equations	0