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 2021-06-01 to 2025-06-01.)

Article	Citations
On the Bogolyubov endomorphisms of the renormalized square of white noise algebra	13
Lp-Theory for the fractional time stochastic heat equation with an infinite-dimensional fractional Brownian motion	7
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	6
Quantum properties of classical Pearson random variables	6
Characterizations of tracial functionals on C∗-algebras	5
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces	5
Characters of infinite-dimensional quantum classical groups: BCD cases	5
Combinatorics of NC-probability spaces with independent constants	4
Author index (Vol. 27)	4
Twisted convolution quantum information channels, one-parameter semigroups and their generators	4
Preface	4
On irreducibility and positivity improvement of norm continuous quantum Markov semigroups	3
Functions with image in a strip	3
On the families of polynomials forming a part of the Askey–Wilson scheme and their probabilistic applications	3
Sensitivity analysis in the infinite dimensional Heston model	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 direct and indirect influence of Prof. K. R. Parthasarathy on my game theoretic research career	2
Preface	2
The average values of a kind of functionals in LP and concentration without measure	2
On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	2
A Lévy–Khinchin formula on Olshanski spherical pairs	2
Schrödinger dynamics and optimal transport of measures	2
Causal perturbative QFT and white noise	2
New class of Gibbs measures for two-state hard-core model on a Cayley tree	2

A note on the infinite-dimensional quantum Strassen’s theorem	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
Herglotz’s representation for operator valued functions and the spectral theorem for unitary operators	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	1
A new construction of shearlets	1
Ergodic theorems for higher order Cesàro means	1
Author index (Vol. 26)	1
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions	1
Computation of sandwiched relative α-entropy of two n-mode Gaussian states	1
Remarks on CCR and CAR flows over closed convex cones	1
Meixner random variables and their quantum operators	1
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski	1
Non-commutative stochastic processes with independent increments	1
Motzkin path decompositions of functionals in noncommutative probability	1
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	1
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	1
On operator-valued infinitesimal Boolean and monotone independence	1
Author index (Vol. 24)	1
Relative entropy via distribution of observables	1
A characterization of Riesz-dual sequences which are near-Markushevich bases	1
On stopping rules for tree-indexed quantum Markov chains	1
Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion	0
Lie symmetries, conservation laws, optimal system and power series solutions of time fractional modified KdV–Zakharov–Kuznetsov equation	0
From Hamiltonian systems to compressible Euler equation driven by additive Hölder noise	0
Quasi-invariant states	0
Some noncommutative subsequential weighted individual ergodic theorems	0
Wilhelm von Waldenfels (2-3-1932–12-3-2021), a pioneer of quantum probability	0
Quantum Wasserstein distance of order 1 between channels	0
On the non-commutative multifractional Brownian motion	0
Noncommutative quantum decomposition of Gegenbauer white noise process	0
Stochastic approximation in infinite dimensions	0
Operator-valued infinitesimal multiplicative convolutions	0
Operator-valued Gaussian processes and their covariance kernels	0
Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
A note on matrix-valued orthonormal bases over LCA groups	0
A few remarks on intermediate subalgebras of an inclusion of C∗-algebras	0
Fundamentals of classical and quantum stochastic filtering theory	0
Quantum symmetry in multigraphs (part II)	0
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	0
On irreducibility of Gaussian quantum Markov semigroups	0
The Stockwell transform on locally compact abelian groups	0
Stochastic integrals and Gelfand integration in Fréchet spaces	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	0
A white noise approach to stochastic currents of Brownian motion	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	0

Backward stochastic evolution inclusions in UMD Banach spaces	0
An invitation to some of K. R. Parthasarathy’s writings: Part I	0
Algebraic groups in non-commutative probability theory revisited	0
Hidden quantum Markov processes	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	0
Sufficient statistic and Rao–Blackwell theorem in quantum probability	0
Some reminiscences about KRP, my dad, teacher and guide in life	0
Uniqueness and superposition of the space-distribution-dependent Zakai equations	0
Some strong limit theorems for weighted sums of measurable operators	0
Bi-free probability theory and reflection positivity	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0
The structure of entrance laws for time-inhomogeneous Ornstein–Uhlenbeck processes with Lévy noise in Hilbert spaces	0
Rates of convergence for laws of the spectral maximum of free random variables	0
Higher energy state approximations in the “Many interacting worlds” model	0
An extension of Krishnan’s central limit theorem to the Brown–Thompson groups	0
Entropy exchange and coherent information based on local quantum Bernoulli noises	0
Algebraic Hidden processes and Hidden Markov processes	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
Quadratic-exponential functionals of Gaussian quantum processes	0
Full error analysis for the training of deep neural networks	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
Useful variants and perturbations of completely entangled subspaces and spans of unextendible product bases	0
Ground state of one-dimensional Fermion–Phonon systems	0
Effects of permutation functions on woven and non-woven frames	0
Diffusion approximation for transport equations with dissipative drifts for time dependent coefficients	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
IDH-Anderson model and density of states measure	0
Block quantum dynamical semigroups of completely positive definite kernels	0
Dissipative dynamics for infinite lattice systems	0
Conditionally monotone cumulants via shuffle algebra	0
Hamiltonian of free field on infinite-dimensional hypercube	0
Continuous Krishna–Parthasarathy entropic uncertainty principle	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
Quantum Ising model with generalized competingXY-interactions on a Cayley tree	0
On matrix-valued Gabor frames over locally compact abelian groups	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
A new numerical scheme for Itô stochastic differential equations based on Wick-type Wong–Zakai arguments	0
Stochastic version of Henry type Gronwall’s inequality	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations	0
Hafnian point processes and quasi-free states on the CCR algebra	0
Quantum analogues of white noise delta functions	0
Author index (Vol. 25)	0
Free CIR processes	0
On near-martingales and a class of anticipating linear stochastic differential equations	0
Ergodic decomposition in the space of unital completely positive maps	0
Finitely generated weakly monotone C∗-algebra	0
Characterization of Gaussian quantum Markov semigroups	0
An invitation to some of K. R. Parthasarathy's writings: Part II	0
Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises	0
A note on invariant states of Gaussian quantum Markov semigroups	0
Universality theorems for asymmetric spaces	0
Stochastic quantization of laser propagation models	0
Two-dimensional quantum Bernoulli process and the related central limit theorem	0
A Feynman–Kac formula for magnetic monopoles	0
Matrix-valued Schrödinger operators over finite adeles	0
Anticipating quantum stochastic integrals	0
Combinatorial aspects of weighted free Poisson random variables	0
The category of compact quantum metric spaces	0
Positivity of Gibbs states on distance-regular graphs	0