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 2020-03-01 to 2024-03-01.)

Article	Citations
Quantum Markov chains: A unification approach	21
Types of factors generated by quantum Markov states of Ising model with competing interactions on the Cayley tree	10
Full error analysis for the training of deep neural networks	8
Refined existence and regularity results for a class of semilinear dissipative SPDEs	8
Domains of elliptic operators on sets in Wiener space	6
Space-distribution PDEs for path independent additive functionals of McKean–Vlasov SDEs	6
On stopping rules for tree-indexed quantum Markov chains	6
Quantum Strassen’s theorem	5
Identification of the one-mode quadratic Heisenberg group with the projective group PSU(1,1) and holomorphic representation	3
Equilibrium statistical mechanics of barotropic quasi-geostrophic equations	3
Stability of the Markov (conservativity) property under perturbations	3
Quadratic-exponential functionals of Gaussian quantum processes	3
Characterization of Gaussian quantum Markov semigroups	3
Generalized Bernoulli Wick differential equation	3
Universality theorems for asymmetric spaces	3
Stochastic version of Henry type Gronwall’s inequality	3
Lévy Laplacians and instantons on manifolds	3
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces	3
Quantum Aitchison geometry	3
Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations	3
Interacting Fock spaces and subproduct systems	3
Stationary states of weak coupling limit-type Markov generators and quantum transport models	3
White noise delta functions and infinite-dimensional Laplacians	2
Regularity properties of the stochastic flow of a skew fractional Brownian motion	2
Sensitivity analysis in the infinite dimensional Heston model	2

On irreducibility of Gaussian quantum Markov semigroups	2
Large deviations for a stochastic Cahn–Hilliard equation in Hölder norm	2
Sufficient statistic and Rao–Blackwell theorem in quantum probability	2
Regularization of cylindrical processes in locally convex spaces	2
Path independence of the additive functionals for McKean–Vlasov stochastic differential equations with jumps	2
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions	2
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	2
Construction of g-fusion frames in Hilbert spaces	2
The category of compact quantum metric spaces	2
The Stockwell transform on locally compact abelian groups	1
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	1
On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	1
Quantum Wasserstein distance of order 1 between channels	1
Change of variable formulas for non-anticipative functionals	1
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	1
Positivity of Gibbs states on distance-regular graphs	1
A stochastic convolution integral inequality	1
Combinatorics of NC-probability spaces with independent constants	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
Uniqueness and superposition of the space-distribution-dependent Zakai equations	1
A note concerning Marcinkiewicz integral with rough kernel	1
Free CIR processes	1
Further results on the arcwise connectedness of solution sets of discontinuous quantum stochastic differential inclusions	1
Noncommutative weighted individual ergodic theorems with continuous time	1
A characterization of Riesz-dual sequences which are near-Markushevich bases	0
Hamiltonian of free field on infinite-dimensional hypercube	0
Operator-valued Gaussian processes and their covariance kernels	0
On the non-commutative multifractional Brownian motion	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
The structure of entrance laws for time-inhomogeneous Ornstein–Uhlenbeck processes with Lévy noise in Hilbert spaces	0
Backward stochastic evolution inclusions in UMD Banach spaces	0
Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises	0
A white noise approach to stochastic currents of Brownian motion	0
Matrix-valued Schrödinger operators over finite adeles	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
An L2-approximation method for construction and smoothing estimates of Markov semigroups for interacting diffusion processes on a lattice	0
Remarks on CCR and CAR flows over closed convex cones	0
Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940–2021)	0
A note on the rate of convergence in the Boolean central limit theorem	0
Conditional law of large numbers and entropy of Markov processes	0
A note on the infinite-dimensional quantum Strassen’s theorem	0
Characters of infinite-dimensional quantum classical groups: BCD cases	0
Author index (Vol. 25)	0
Noncommutative quantum decomposition of Gegenbauer white noise process	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
Quantum properties of classical Pearson random variables	0
Frame-cyclic operators and their properties	0
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0

Preface	0
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	0
On the Bogolyubov endomorphisms of the renormalized square of white noise algebra	0
On operator-valued infinitesimal Boolean and monotone independence	0
Minima of independent time-inhomogeneous random walks	0
Effects of permutation functions on woven and non-woven frames	0
Author index (Vol. 24)	0
Schrödinger dynamics and optimal transport of measures	0
Algebraic Central Limit Theorems: A Personal View on One of Wilhelm's Legacies	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0
On near-martingales and a class of anticipating linear stochastic differential equations	0
Schur–Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion	0
Quantum Ising model with generalized competingXY-interactions on a Cayley tree	0
On matrix-valued Gabor frames over locally compact abelian groups	0
Stochastic quantization of laser propagation models	0
Inequalities for acceptable noncommutative random variables	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
Twisted convolution quantum information channels, one-parameter semigroups and their generators	0
On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications	0
Stochastic integrals and Gelfand integration in Fréchet spaces	0
On the p-Adic analog of Richards’ equation with the finite difference method	0
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability	0
On the generalization of moyal equation for an arbitrary linear quantization	0
Ergodic theorems for higher order Cesàro means	0
Rates of convergence for laws of the spectral maximum of free random variables	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
Lp-Theory for the fractional time stochastic heat equation with an infinite-dimensional fractional Brownian motion	0
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski	0
Motzkin path decompositions of functionals in noncommutative probability	0
Some strong limit theorems for weighted sums of measurable operators	0
A Feynman–Kac formula for magnetic monopoles	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
Large deviations for stochastic models of two-dimensional second grade fluids driven by Lévy Noise	0
New class of Gibbs measures for two-state hard-core model on a Cayley tree	0
Combinatorial aspects of weighted free Poisson random variables	0
The average values of a kind of functionals in LP and concentration without measure	0
Computation of sandwiched relative α-entropy of two n-mode Gaussian states	0
A new construction of shearlets	0
Author index (Vol. 26)	0
Author index (Vol. 23)	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
Relative entropy via distribution of observables	0
Representations of the infinite-dimensional p-adic affine group	0
Non-commutative stochastic processes with independent increments	0
Self-intersection local times for multifractional Brownian motion in higher dimensions: A white noise approach	0
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	0
Some noncommutative subsequential weighted individual ergodic theorems	0
Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	0
Structure of block quantum dynamical semigroups and their product systems	0
Causal perturbative QFT and white noise	0
Dissipative dynamics for infinite lattice systems	0
Wong–Zakai approximations for quasilinear systems of Itô's-type stochastic differential equations driven by fBm with H > 1 2	0
Strong 1-boundedness of unimodular orthogonal free quantum groups	0
Two-dimensional quantum Bernoulli process and the related central limit theorem	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0