Paola Loreti
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Italian mathematician
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Paola Loretimathematics Degrees
Mathematics
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Differential Geometry
#101
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#122
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Geometry
#189
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Algebra
#180
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#276
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Mathematics
Paola Loreti's Degrees
- PhD Mathematics University of Milan
- Bachelors Mathematics University of Bologna
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Why Is Paola Loreti Influential?
(Suggest an Edit or Addition)According to Wikipedia, Paola Loreti is an Italian mathematician, and a professor of mathematical analysis at Sapienza University of Rome. She is known for her research on Fourier analysis, control theory, and non-integer representations. The Komornik–Loreti constant, the smallest non-integer base for which the representation of 1 is unique, is named after her and Vilmos Komornik.
Paola Loreti's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Fourier Series in Control Theory (2005) (203)
- Unique Developments in Non-Integer Bases (1998) (150)
- On the topological structure of univoque sets (2007) (90)
- Ingham-Beurling type theorems with weakened gap conditions (2002) (75)
- Subexpansions, superexpansions and uniqueness properties in non-integer bases (2002) (72)
- Level Sets of Viscosity Solutions: some Applications to Fronts and Rendez-vous Problems (1994) (62)
- Ear, nose, and throat symptoms in patients with TMD: the association of symptoms according to severity of arthropathy. (1994) (62)
- Regularity of the Minimum Time Function and Minimum Energy Problems: The Linear Case (1999) (55)
- Propagation of fronts in a nonlinear fourth order equation (2000) (55)
- An Ingham type proof for a two-grid observability theorem (2008) (51)
- Asymptotic solutions of Hamilton-Jacobi equations in Euclidean n space (2006) (49)
- Ingham Type Theorems and Applications to Control Theory (1999) (49)
- Reachability problems for a class of integro-differential equations (2010) (48)
- Hamilton-Jacobi equations : approximations, numerical analysis and applications : Cetraro, Italy 2011 (2013) (46)
- Topology of the set of univoque bases (2016) (42)
- Ingham-Type Theorems for Vector-Valued Functions and Observability of Coupled Linear Systems (1999) (41)
- Asymptotic Solutions of Viscous Hamilton–Jacobi Equations with Ornstein–Uhlenbeck Operator (2006) (40)
- Large time behavior of weakly coupled systems of first-order Hamilton–Jacobi equations (2011) (34)
- Boundary Controllability and Observability of a Viscoelastic String (2012) (34)
- Limits of Solutions of p-Laplace Equations as p Goes to Infinity and Related Variational Problems (2005) (28)
- Optimal Energy Decay Rate for Partially Damped Systems by Spectral Compensation (2006) (27)
- HOMOGENIZATION OF MONOTONE SYSTEMS OF HAMILTON-JACOBI EQUATIONS (2008) (26)
- Expansions in Complex Bases (2007) (24)
- Solutions of fractional logistic equations by Euler’s numbers (2017) (23)
- A class of stochastic optimal control problems with state constraint (2002) (23)
- Controllability of semilinear wave equations with infinitely iterated logarithms (2002) (22)
- Some properties of constrained viscosity solutions of Hamilton-Jacobi Bellman equations (1987) (20)
- Robot's finger and expansions in non-integer bases (2012) (18)
- Exact controllability of a shallow shell model (1992) (16)
- Control problems for weakly coupled systems with memory (2013) (16)
- Well posedness and control of semilinear wave equations with iterated logarithms (1999) (15)
- The smallest univoque number is not isolated (2003) (15)
- An approximation property of Pisot numbers (2000) (14)
- Fractional SIS Epidemic Models (2020) (14)
- Observability of compactly perturbed systems (2000) (14)
- A Fibonacci control system with application to hyper-redundant manipulators (2014) (13)
- Semi-Discrete Ingham-Type Inequalities (2007) (13)
- Partial Exact Controllability for Spherical Membranes (1997) (12)
- Exact reachability for second-order integro-differential equations (2009) (11)
- Modified fractional logistic equation (2018) (11)
- Optimal expansions in non-integer bases (2010) (11)
- Efficiency of nitrilotriacetate in the removal of type 2 copper from laccase and ascorbate oxidase (1990) (11)
- From discrete to continuous reachability for a robot’s finger model (2013) (11)
- Comparison results for a class of weakly coupled systems of eikonal equations (2008) (10)
- Determination of order in linear fractional differential equations (2017) (10)
- Long-time behavior of solutions to Hamilton–Jacobi equations with quadratic gradient term (2009) (10)
- Multiple-point internal observability of membranes and plates (2011) (10)
- Modeling and Optimal Control of an Octopus Tentacle (2018) (9)
- Robot's hand and expansions in non-integer bases (2011) (9)
- A Zubov’s method for stochastic differential equations (2006) (9)
- Carleman estimate and application to an inverse source problem for a viscoelasticity model in anisotropic case (2017) (9)
- Universal Expansions in Negative and Complex Bases (2010) (8)
- Observability of rectangular membranes and plates on small sets (2013) (8)
- Partial Observability of Coupled Linear Systems (2000) (8)
- On some gap theorems (2005) (8)
- A model for robotic hand based on Fibonacci sequence (2014) (7)
- On the Control of Coupled Linear Systems (1998) (7)
- Control Strategies for an Octopus-like Soft Manipulator (2019) (7)
- Discrete Ingham type inequalities and simultaneous observability of strings or beams (2009) (7)
- A further note on a theorem of Ingham and simultaneous observability in critical time (2004) (7)
- Variational Solutions of Coupled Hamilton—Jacobi Equations (2000) (7)
- Discrete Asymptotic Reachability via Expansions in Non-integer Bases (2012) (6)
- Multidimensional Controllability Problems with Memory (2011) (6)
- Observability of discretized wave equations (2007) (6)
- Hidden regularity for wave equations with memory (2016) (6)
- Systems of convex Hamilton-Jacobi equations with implicit obstacles and the obstacle problem (2009) (6)
- Semigroup approach for the approximation of a control problem with unbounded dynamics (1993) (5)
- Hypercontractivity, hopf-lax type formulas, ornstein-uhlenbeck operators (II) (2009) (5)
- An object-oriented approach to idempotent analysis: Integral equations as optimal control problems (2005) (5)
- A Bernstein type inequality (2010) (4)
- Relaxation in an L∞-optimization problem (2003) (4)
- Optimal Reachability and Grasping for a Soft Manipulator (2020) (4)
- Weak Solutions for Time-Fractional Evolution Equations in Hilbert Spaces (2021) (4)
- Lax type formulas with lower semicontinuous initial data and hypercontractivity results (2013) (4)
- A Continuous Fibonacci Model for Robotic Octopus Arm (2016) (4)
- Observability of square Membranes by Fourier series methods (2015) (4)
- Inverse Observability Inequalities for Integrodifferential Equations in Square Domains (2017) (4)
- Relaxation of Hamilton-Jacobi Equations (2003) (4)
- Dirichlet series and simultaneous observability: two problems solved by the same approach (2003) (4)
- An explicit bound for stability of sinc bases (2015) (3)
- Clinical tolerability of ibopamine hydrochloride (SB 7505) (2004) (3)
- Hopf-Lax type formulas and hypercontractivity (2008) (3)
- Fractional diffusion-wave equations: Hidden regularity for weak solutions (2020) (3)
- Reaction time to acoustic or visual stimuli after administration of camazepam and diazepam in man. (1980) (3)
- Optimal Reachability with Obstacle Avoidance for Hyper-redundant and Soft Manipulators (2020) (3)
- Self-similar control systems and applications to zygodactyl bird's foot (2015) (3)
- Externality and Hamilton-Jacobi equations (2004) (2)
- Null Controllability of the Free Surface of a Liquid in a Container (2004) (2)
- Topology of univoque sets in real base expansions (2021) (2)
- A Semilinear Integro-Differential Equation: Global Existence and Hidden Regularity (2018) (2)
- A Mathematical Model for Signal's Energy at the Output of an Ideal DAC (2015) (2)
- On fourier transform, parseval equality, and the inversion formula in idempotent analysis (2013) (2)
- Kadec-1/4 Theorem for Sinc Bases (2016) (2)
- Effects of Fractional Derivatives with Different Orders in SIS Epidemic Models (2021) (2)
- Mathematical Model for the Output Signal's Energy of an Ideal DAC in the Presence of Clock Jitter (2016) (2)
- Observability of $N$-dimensional integro-differential systems (2016) (2)
- Constrained Reachability Problems for a Planar Manipulator (2021) (2)
- Variable Support Control for the Wave Equation - A Multiplier Approach (2018) (2)
- A Fibonacci control system (2014) (2)
- Carleman estimates for integro-differential parabolic equations with singular memory kernels (2017) (2)
- Hypercontractivity of a semi-Lagrangian scheme for Hamilton-Jacobi equations (2013) (1)
- Fibonacci expansions (2021) (1)
- Nonlinear Optimization Applications Using the GAMS Technology (2013) (1)
- Alternating and Variable Boundary Control for the Wave Equation (2017) (1)
- Discrete Ingham type inequalities with a weakened gap condition (2007) (1)
- General Gagliardo inequality and applications to weighted Sobolev spaces (2009) (1)
- Solutions of Bernoulli Equations in the Fractional Setting (2021) (1)
- Data Mining of the Human Being (2017) (1)
- Trace regularity for biharmonic evolution equations with Caputo derivatives (2021) (1)
- Generalized binomials in fractional calculus (2020) (1)
- Application of a New Ingham Type Theorem to the Control of Spherical Shells (2000) (1)
- Partial observability of a wave-Petrovsky system with memory (2015) (1)
- Boundary Observability of Compactly Perturbed Systems (2003) (1)
- On a class of Hamilton-Jacobi equations and related logarithmic Sobolev inequality (2011) (1)
- Alternating and variable controls for the wave equation (2017) (1)
- Viscoelastic aspects of glass relaxation models (2018) (1)
- Multi-target Optimal Control Problems for a Tentacle-like Soft Manipulator (2021) (1)
- Effects of fractional derivatives in epidemic models (2021) (1)
- [Model for the regional allocation of the National Health Care Fund]. (1989) (0)
- A dynamic programming approach for controlled fractional SIS models (2021) (0)
- Carleman estimates for integro-differential parabolic equations with singular memory kernels (2017) (0)
- #A50 INTEGERS 10 (2010), 669-679 UNIVERSAL EXPANSIONS IN NEGATIVE AND COMPLEX BASES (2010) (0)
- Symmetries for an integro-differential equation in a disk (2015) (0)
- Notes on Some of Kahane’s Works: Ingham Type Theorems and Bernoulli Convolutions (2018) (0)
- Expansions in non-integer bases in communication control problems (2011) (0)
- Notes on Some of Kahane’s Works: Ingham Type Theorems and Bernoulli Convolutions (2018) (0)
- Relaxation in the Cauchy problem for Hamilton-Jacobi equations (Viscosity Solution Theory of Differential Equations and its Developments) (2005) (0)
- Entropy decay for non-local diffusion equations with Ornstein-Uhlenbeck operators (2019) (0)
- Ingham type inequalities in lattices (2015) (0)
- Reachability problems for a wave-wave system with a memory term (2017) (0)
- Optimal Contact Points for an Octopus Arm (2022) (0)
- The Idempotent Analog of Resolvent Kernels for a Deterministic Optimal Control Problem (2001) (0)
- INGHAM TYPE THEOREMS AND GAP CONDITIONS (2007) (0)
- Optimal expansions of Kakeya sequences (2022) (0)
- Fractional SIS epidemic models and their solutions (2020) (0)
- Large time behavior of weakly coupled systems of first-order Hamilton–Jacobi equations (2012) (0)
- Time memory effect in entropy decay of Ornstein-Uhlenbeck operators (2019) (0)
- Properties of expansions in complex bases (2009) (0)
- [Height percentiles of children at 6 to 11 years of age in the area of Lazio]. (1997) (0)
- Lax type formulas with lower semicontinuous initial data and hypercontractivity results (2012) (0)
- Idempotent Analogue of Resolvent Kernels for a Deterministic Optimal Control Problem (2007) (0)
- Observability of a Ring Shaped Membrane via Fourier Series (2015) (0)
- Time fractional exact controllability (2022) (0)
- The Hilbert Uniqueness Method for a Class of Integral Operators (2015) (0)
- A P ] 5 S ep 2 01 8 Viscoelastic aspects of glass relaxation models (2018) (0)
- Mixed norms, functional Inequalities, and Hamilton-Jacobi equations (2014) (0)
- Perturbed Sinc Bases with Application to Time Jittering in Digital Audio Processes (2015) (0)
- Cantor type functions in non-integer bases (2017) (0)
- A PDE approach to stochastic invariance (2000) (0)
- Internal observability of the wave equation in a triangular domain (2018) (0)
- Specific effect of dimercaptosuccinic acid on the type 2-type 3 Cu cluster of rhus vernicifera laccase in presence of thiol reagents. (1991) (0)
- Observability for the Wave Equation with Variable Support in the Dirichlet and Neumann Cases (2018) (0)
- Multi-Time Systems of Conservation Laws (2013) (0)
- A note on partial exact controllability for spherical membranes (1997) (0)
- A control model for zygodactyl bird's foot (2014) (0)
- Expansions in Complex Bases Vilmos Komornik and Paola Loreti (2009) (0)
- Simultaneous observability of infinitely many strings and beams (2020) (0)
- A contstructive aaproach for the observability of coupled linear systems (1998) (0)
- Simultaneous Observability of Plates (2014) (0)
- Uniqueness of solution to boundary value problems for time-fractional wave equations (2023) (0)
- A comparative study of the control of two beam models (2009) (0)
- Cantor type functions in non-integer bases (2016) (0)
- Inverse Ingham type inequalities for the Burgers model (2022) (0)
- OBSERVABILITY OF SQUARE MEMBRANES BY FOURIER (2016) (0)
- On a class of Hamilton-Jacobi equations with related Logarithmic Sobolev Inequality, and optimality (2011) (0)
- Ingham type inequalities towards Parseval equality (2016) (0)
- Exact controllability of shells in minimal time (2001) (0)
- A Fibonacci control system with application to hyper-redundant manipulators (2016) (0)
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