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 2021-08-01 to 2025-08-01.)

Article	Citations
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces	14
Characterizations of tracial functionals on C∗-algebras	7
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	7
Quantum properties of classical Pearson random variables	6
On the Bogolyubov endomorphisms of the renormalized square of white noise algebra	6
Characters of infinite-dimensional quantum classical groups: BCD cases	5
Twisted convolution quantum information channels, one-parameter semigroups and their generators	5
Combinatorics of NC-probability spaces with independent constants	4
Author index (Vol. 27)	3
Functions with image in a strip	3
Preface	3
Partial isometries between Hilbert modules and their compositions	3
From the Choi formalism in infinite dimensions to unique decompositions of generators of completely positive dynamical semigroups	3
On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications	3
On irreducibility and positivity improvement of norm continuous quantum Markov semigroups	3
A new construction of shearlets	2
Causal perturbative QFT and white noise	2
A note on the infinite-dimensional quantum Strassen’s theorem	2
Schrödinger dynamics and optimal transport of measures	2
A Feynman–Kac approach for the spatial derivative of the solution to the Wick stochastic heat equation driven by time homogeneous white noise	2
Generalized fractional Lévy–Meixner Appell polynomials in infinite dimensions	2
On operator-valued infinitesimal Boolean and monotone independence	2
Preface	2
Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940–2021)	2
Remembering Prof. K. R. Parthasarathy (25 June 1936–14 June 2023)	2

New class of Gibbs measures for two-state hard-core model on a Cayley tree	2
On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	2
Remarks on CCR and CAR flows over closed convex cones	2
A Lévy–Khinchin formula on Olshanski spherical pairs	2
On the direct and indirect influence of Prof. K. R. Parthasarathy on my game theoretic research career	2
The average values of a kind of functionals in LP and concentration without measure	2
Herglotz’s representation for operator valued functions and the spectral theorem for unitary operators	2
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	1
Meixner random variables and their quantum operators	1
Motzkin path decompositions of functionals in noncommutative probability	1
Computation of sandwiched relative α-entropy of two n-mode Gaussian states	1
Effects of permutation functions on woven and non-woven frames	1
IDH-Anderson model and density of states measure	1
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions	1
Author index (Vol. 26)	1
Ergodic theorems for higher order Cesàro means	1
Author index (Vol. 24)	1
On stopping rules for tree-indexed quantum Markov chains	1
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	1
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	1
Non-commutative stochastic processes with independent increments	1
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski	1
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	1
A characterization of Riesz-dual sequences which are near-Markushevich bases	1
Relative entropy via distribution of observables	1
Combinatorial aspects of weighted free Poisson random variables	1
Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion	1
Quantum Wasserstein distance of order 1 between channels	0
Stochastic approximation in infinite dimensions	0
Some strong limit theorems for weighted sums of measurable operators	0
Lie symmetries, conservation laws, optimal system and power series solutions of time fractional modified KdV–Zakharov–Kuznetsov equation	0
Quasi-invariant states	0
On matrix-valued Gabor frames over locally compact abelian groups	0
Bi-free probability theory and reflection positivity	0
Sufficient statistic and Rao–Blackwell theorem in quantum probability	0
Dissipative dynamics for infinite lattice systems	0
An extension of Krishnan’s central limit theorem to the Brown–Thompson groups	0
Quantum analogues of white noise delta functions	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0
Ergodic decomposition in the space of unital completely positive maps	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
Positivity of Gibbs states on distance-regular graphs	0
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability	0
On near-martingales and a class of anticipating linear stochastic differential equations	0
A few remarks on intermediate subalgebras of an inclusion of C∗-algebras	0
Higher energy state approximations in the “Many interacting worlds” model	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
Anticipating quantum stochastic integrals	0
Continuous Krishna–Parthasarathy entropic uncertainty principle	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0

Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	0
Entropy exchange and coherent information based on local quantum Bernoulli noises	0
A white noise approach to stochastic currents of Brownian motion	0
Backward stochastic evolution inclusions in UMD Banach spaces	0
Fundamentals of classical and quantum stochastic filtering theory	0
The Stockwell transform on locally compact abelian groups	0
Useful variants and perturbations of completely entangled subspaces and spans of unextendible product bases	0
Block quantum dynamical semigroups of completely positive definite kernels	0
Some reminiscences about KRP, my dad, teacher and guide in life	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
Conditionally monotone cumulants via shuffle algebra	0
From Hamiltonian systems to compressible Euler equation driven by additive Hölder noise	0
Noncommutative quantum decomposition of Gegenbauer white noise process	0
Quadratic-exponential functionals of Gaussian quantum processes	0
Free CIR processes	0
Operator-valued infinitesimal multiplicative convolutions	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
Universality theorems for asymmetric spaces	0
Preface	0
On irreducibility of Gaussian quantum Markov semigroups	0
Quantum Ising model with generalized competingXY-interactions on a Cayley tree	0
Stochastic integrals and Gelfand integration in Fréchet spaces	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0
Operator-valued Gaussian processes and their covariance kernels	0
Finitely generated weakly monotone C∗-algebra	0
Two-dimensional quantum Bernoulli process and the related central limit theorem	0
Full error analysis for the training of deep neural networks	0
Diffusion approximation for transport equations with dissipative drifts for time dependent coefficients	0
Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises	0
Rates of convergence for laws of the spectral maximum of free random variables	0
Stochastic quantization of laser propagation models	0
Hidden quantum Markov processes	0
Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	0
Hafnian point processes and quasi-free states on the CCR algebra	0
Hamiltonian of free field on infinite-dimensional hypercube	0
Algebraic groups in non-commutative probability theory revisited	0
Uniqueness and superposition of the space-distribution-dependent Zakai equations	0
A note on matrix-valued orthonormal bases over LCA groups	0
Quantum symmetry in multigraphs (part II)	0
A new numerical scheme for Itô stochastic differential equations based on Wick-type Wong–Zakai arguments	0
The category of compact quantum metric spaces	0
Some noncommutative subsequential weighted individual ergodic theorems	0
An invitation to some of K. R. Parthasarathy’s writings: Part II	0
Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
A note on invariant states of Gaussian quantum Markov semigroups	0
Author index (Vol. 25)	0
Algebraic Hidden processes and Hidden Markov processes	0
Ground state of one-dimensional Fermion–Phonon systems	0
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	0
On the non-commutative multifractional Brownian motion	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
A note on the rate of convergence in the Boolean central limit theorem	0
A lower bound estimate of life span of solutions to stochastic 3D Navier–Stokes equations with convolution-type noise	0
Existence and uniqueness of stochastic PDEs associated with the forward equations: An approach using alternate norms	0
Characterization of Gaussian quantum Markov semigroups	0
Matrix-valued Schrödinger operators over finite adeles	0
Wong–Zakai approximations for quasilinear systems of Itô's-type stochastic differential equations driven by fBm with H > 1 2	0
An invitation to some of K. R. Parthasarathy’s writings: Part I	0