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 2021-02-01 to 2025-02-01.)

Article	Citations
The average values of a kind of functionals in LP and concentration without measure	11
Useful variants and perturbations of completely entangled subspaces and spans of unextendible product bases	6
Preface	4
On stopping rules for tree-indexed quantum Markov chains	4
Quantum properties of classical Pearson random variables	4
Motzkin path decompositions of functionals in noncommutative probability	4
On the Bogolyubov endomorphisms of the renormalized square of white noise algebra	4
Recurrence and transience of quantum Markov semigroups constructed form quantum Bernoulli noises	4
A characterization of Riesz-dual sequences which are near-Markushevich bases	4
A Feynman–Kac approach for the spatial derivative of the solution to the Wick stochastic heat equation driven by time homogeneous white noise	4
Schrödinger dynamics and optimal transport of measures	4
Finitely generated weakly monotone C∗-algebra	3
Lp-Theory for the fractional time stochastic heat equation with an infinite-dimensional fractional Brownian motion	3
Two-dimensional quantum Bernoulli process and the related central limit theorem	3
Stochastic averaging principle for McKean–Vlasov SDEs driven by Lévy noise	3
Path independence of the additive functionals for McKean–Vlasov stochastic differential equations with jumps	3
Analogues of Poisson-type limit theorems in discrete bm-Fock spaces	3
Rates of convergence for laws of the spectral maximum of free random variables	2
Fundamentals of classical and quantum stochastic filtering theory	2
The quantum moment problem for a classical random variable and a classification of interacting Fock spaces	2
A note on matrix-valued orthonormal bases over LCA groups	2
Wong–Zakai approximations for quasilinear systems of Itô's-type stochastic differential equations driven by fBm with H > 1 2	2
Distribution-dependent stochastic differential delay equations in finite and infinite dimensions	2
A lower bound estimate of life span of solutions to stochastic 3D Navier–Stokes equations with convolution-type noise	2
The category of compact quantum metric spaces	1

Stochastic approximation in infinite dimensions	1
Quadratic-exponential functionals of Gaussian quantum processes	1
Twisted convolution quantum information channels, one-parameter semigroups and their generators	1
Hafnian point processes and quasi-free states on the CCR algebra	1
Stochastic version of Henry type Gronwall’s inequality	1
Causal perturbative QFT and white noise	1
On irreducibility of Gaussian quantum Markov semigroups	1
An invitation to some of K. R. Parthasarathy’s writings: Part I	1
Noncommutative quantum decomposition of Gegenbauer white noise process	1
Characterization of Gaussian quantum Markov semigroups	1
Quantum symmetry in multigraphs (part II)	1
Relative entropy via distribution of observables	1
Quantum Wasserstein distance of order 1 between channels	1
On the generalization of moyal equation for an arbitrary linear quantization	1
Least squares type estimators for the drift parameters in the sub-bifractional Vasicek processes	1
Characters of infinite-dimensional quantum classical groups: BCD cases	1
A note on the rate of convergence in the Boolean central limit theorem	1
Quantum analogues of white noise delta functions	0
On the direct and indirect influence of Prof. K. R. Parthasarathy on my game theoretic research career	0
Generalized fractional Lévy–Meixner Appell polynomials in infinite dimensions	0
On the existence of derivations as square roots of generators of state-symmetric quantum Markov semigroups	0
Some thoughts on Wilhelm von Waldenfels and on universal second order constructions	0
Free CIR processes	0
On irreducibility and positivity improvement of norm continuous quantum Markov semigroups	0
Meixner random variables and their quantum operators	0
Operator-valued Gaussian processes and their covariance kernels	0
A note on the infinite-dimensional quantum Strassen’s theorem	0
Sufficient statistic and Rao–Blackwell theorem in quantum probability	0
Quantum Ising model with generalized competingXY-interactions on a Cayley tree	0
Stochastic quantization of laser propagation models	0
Infinite-horizon risk-sensitive performance criteria for translation invariant networks of linear quantum stochastic systems	0
Hamiltonian of free field on infinite-dimensional hypercube	0
A new construction of shearlets	0
Entropy exchange and coherent information based on local quantum Bernoulli noises	0
Central limit theorems for heat equation with time-independent noise: The regular and rough cases	0
Factoriality of mixed q-deformed Araki-Woods von Neumann algebras	0
Hidden quantum Markov processes	0
Herglotz’s representation for operator valued functions and the spectral theorem for unitary operators	0
A biorthogonal approach to the infinite dimensional fractional Poisson measure	0
Universality theorems for asymmetric spaces	0
On operator-valued infinitesimal Boolean and monotone independence	0
Algebraic Hidden processes and Hidden Markov processes	0
Functions with image in a strip	0
Diffusion approximation for transport equations with dissipative drifts for time dependent coefficients	0
Algebraic groups in non-commutative probability theory revisited	0
A note concerning Marcinkiewicz integral with rough kernel	0
Remembering Prof. K. R. Parthasarathy (25 June 1936–14 June 2023)	0
Bi-free probability theory and reflection positivity	0
From the Choi formalism in infinite dimensions to unique decompositions of generators of completely positive dynamical semigroups	0
Effects of permutation functions on woven and non-woven frames	0

Strong 1-boundedness of unimodular orthogonal free quantum groups	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
Weak pullback mean random attractors for the stochastic convective Brinkman–Forchheimer equations and locally monotone stochastic partial differential equations	0
Some strong limit theorems for weighted sums of measurable operators	0
Matrix-valued Schrödinger operators over finite adeles	0
Algebraic Central Limit Theorems: A Personal View on One of Wilhelm's Legacies	0
Ground state of one-dimensional Fermion–Phonon systems	0
Backward stochastic evolution inclusions in UMD Banach spaces	0
New class of Gibbs measures for two-state hard-core model on a Cayley tree	0
Quantum Aitchison geometry	0
Exponential convergence in the trace norm and time-inhomogeneous Markovian evolutions on ℬ(ℋ)	0
Refinements of asymptotics at zero of Brownian self-intersection local times	0
Combinatorics of NC-probability spaces with independent constants	0
Before thy throne I slip in gently, hoping nobody will notice: A memorial to Robin Hudson (1940–2021)	0
Combinatorial aspects of weighted free Poisson random variables	0
Equilibrium statistical mechanics of barotropic quasi-geostrophic equations	0
An extension of Krishnan’s central limit theorem to the Brown–Thompson groups	0
De Finetti-type theorems on quasi-local algebras and infinite Fermi tensor products	0
An infinite-dimensional nonlinear equation related to Gibbs measures of a SOS model	0
Block quantum dynamical semigroups of completely positive definite kernels	0
A white noise approach to stochastic currents of Brownian motion	0
Uniqueness and superposition of the space-distribution-dependent Zakai equations	0
Author index (Vol. 27)	0
Strong uniqueness of finite-dimensional Dirichlet operators with singular drifts	0
Some noncommutative subsequential weighted individual ergodic theorems	0
Metrics induced by certain Hilbert-Schmidt fidelities on positive semi-definite matrices	0
Author index (Vol. 24)	0
A Feynman–Kac formula for magnetic monopoles	0
Anticipating quantum stochastic integrals	0
Schur–Weyl duality and the product of randomly-rotated symmetries by a unitary Brownian motion	0
Quasi-invariant states	0
Algebraic central limit theorems: A personal view on one of Wilhelm’s legacies	0
An L2-approximation method for construction and smoothing estimates of Markov semigroups for interacting diffusion processes on a lattice	0
Answer to a question by A. Mandarino, T. Linowski and K. Życzkowski	0
Author index (Vol. 25)	0
The structure of entrance laws for time-inhomogeneous Ornstein–Uhlenbeck processes with Lévy noise in Hilbert spaces	0
Dissipative dynamics for infinite lattice systems	0
Remarks on CCR and CAR flows over closed convex cones	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
Frame-cyclic operators and their properties	0
Analysis of space-dependent noise functionals with an application to linearly correlated processes	0
Computation of sandwiched relative α-entropy of two n-mode Gaussian states	0
Non-commutative stochastic processes with independent increments	0
Ergodic theorems for higher order Cesàro means	0
Partial isometries between Hilbert modules and their compositions	0
Full error analysis for the training of deep neural networks	0
Generalized Bernoulli Wick differential equation	0
On the non-commutative multifractional Brownian motion	0
Higher energy state approximations in the “Many interacting worlds” model	0
Preface	0
Lie symmetries, conservation laws, optimal system and power series solutions of time fractional modified KdV–Zakharov–Kuznetsov equation	0
The Stockwell transform on locally compact abelian groups	0
Dilation, functional model and a complete unitary invariant for C.0Γn-contractions	0
Operator-valued infinitesimal multiplicative convolutions	0
On matrix-valued Gabor frames over locally compact abelian groups	0
Continuous Krishna–Parthasarathy entropic uncertainty principle	0
Conditionally monotone cumulants via shuffle algebra	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
Pathwise regularization by noise for semilinear SPDEs driven by a multiplicative cylindrical Brownian motion	0
Sensitivity analysis in the infinite dimensional Heston model	0
Author index (Vol. 26)	0
On the relationships between covariance and the decoherence-free subalgebra of a quantum Markov semigroup	0
A note on invariant states of Gaussian quantum Markov semigroups	0