All Stories

  1. Oriented Calmness and Sweeping Process Dynamics

    Article • Mathematics of Operations Research, August 2023, INFORMS

    Aris Daniilidis

  2. A smooth convex function failing the gradient conjecture both at zero and infinity.

    Article • Bulletin of the London Mathematical Society, March 2022, Wiley

    Aris Daniilidis

  3. Smooth semi-Lipschitz functions and almost isometries between Finsler manifolds

    Article • Journal of Functional Analysis, November 2020, Elsevier

    Aris Daniilidis

  4. Characterization of Filippov representable maps and Clarke subdifferentials

    Article • Mathematical Programming, July 2020, Springer Science + Business Media

    Aris Daniilidis

  5. Pathological Subgradient Dynamics

    Article • SIAM Journal on Optimization, January 2020, Society for Industrial & Applied Mathematics (SIAM)

    Aris Daniilidis

  6. Linear Structure of Functions with Maximal Clarke Subdifferential

    Article • SIAM Journal on Optimization, January 2019, Society for Industrial & Applied Mathematics (SIAM)

    Aris Daniilidis

  7. Characterizations of Super-Regularity and Its Variants

    Article • January 2019, Springer Science + Business Media

    Aris Daniilidis

  8. Metric and Geometric Relaxations of Self-Contracted Curves

    Article • Journal of Optimization Theory and Applications, October 2018, Springer Science + Business Media

    Aris Daniilidis

  9. Gradient Flows, Second-Order Gradient Systems and Convexity

    Article • SIAM Journal on Optimization, January 2018, Society for Industrial & Applied Mathematics (SIAM)

    Aris Daniilidis

  10. Self-contracted curves in Riemannian manifolds

    Article • Journal of Mathematical Analysis and Applications, January 2018, Elsevier

    Aris Daniilidis

  11. A Partial Answer to the Demyanov-Ryabova Conjecture

    Article • Set-Valued and Variational Analysis, July 2017, Springer Science + Business Media

    Aris Daniilidis

  12. Sweeping by a tame process

    Article • Annales de l’institut Fourier, January 2017, Cellule MathDoc/CEDRAM

    Aris Daniilidis

  13. Sard theorems for Lipschitz functions and applications in optimization

    Article • Israel Journal of Mathematics, May 2016, Springer Science + Business Media

    Aris Daniilidis

  14. Spectral (isotropic) manifolds and their dimension

    Article • Journal d Analyse Mathématique, February 2016, Springer Science + Business Media

    Aris Daniilidis

  15. Stability in Linear Optimization Under Perturbations of the Left-Hand Side Coefficients

    Article • Set-Valued and Variational Analysis, June 2015, Springer Science + Business Media

    Aris Daniilidis

  16. Cut-Generating Functions andS-Free Sets

    Article • Mathematics of Operations Research, May 2015, INFORMS

    Aris Daniilidis

  17. Orbits of Geometric Descent

    Article • Canadian Mathematical Bulletin, March 2015, Canadian Mathematical Society

    Aris Daniilidis

  18. Orthogonal Invariance and Identifiability

    Article • SIAM Journal on Matrix Analysis and Applications, January 2014, Society for Industrial & Applied Mathematics (SIAM)

    Aris Daniilidis

  19. Rectifiability of Self-Contracted Curves in the Euclidean Space and Applications

    Article • Journal of Geometric Analysis, November 2013, Springer Science + Business Media

    Aris Daniilidis

  20. The Morse–Sard theorem for Clarke critical values

    Article • Advances in Mathematics, August 2013, Elsevier

    Aris Daniilidis

  21. Cut-Generating Functions

    Article • January 2013, Springer Science + Business Media

    Aris Daniilidis

  22. Lower Semicontinuity of the Feasible Set Mapping of Linear Systems Relative to Their Domains

    Article • Set-Valued and Variational Analysis, August 2012, Springer Science + Business Media

    Aris Daniilidis

  23. Modern Optimization Modelling Techniques

    Article • January 2012, Springer Science + Business Media

    Dr. Jean B Lasserre, Aris Daniilidis

  24. Continuity and differentiability of set-valued maps revisited in the light of tame geometry

    Article • Journal of the London Mathematical Society, March 2011, Wiley

    Aris Daniilidis

  25. Generic Optimality Conditions for Semialgebraic Convex Programs

    Article • Mathematics of Operations Research, February 2011, INFORMS

    Aris Daniilidis

  26. Asymptotic behaviour of self-contracted planar curves and gradient orbits of convex functions

    Article • Journal de Mathématiques Pures et Appliquées, August 2010, Elsevier

    Aris Daniilidis

  27. Generalized Hessians of $C^{1,1}$-Functions and Second-Order Viscosity Subjets

    Article • SIAM Journal on Optimization, January 2010, Society for Industrial & Applied Mathematics (SIAM)

    Aris Daniilidis

  28. Identifying Structure of Nonsmooth Convex Functions by the Bundle Technique

    Article • SIAM Journal on Optimization, January 2009, Society for Industrial & Applied Mathematics (SIAM)

    Aris Daniilidis

  29. On the first integral conjecture of René Thom

    Article • Bulletin des Sciences Mathématiques, October 2008, Elsevier

    Aris Daniilidis

  30. Tame functions are semismooth

    Article • Mathematical Programming, July 2007, Springer Science + Business Media

    Aris Daniilidis

  31. Stability of periodic solutions for Lipschitz systems obtained via the averaging method

    Article • Proceedings of the American Mathematical Society, May 2007, American Mathematical Society (AMS)

    Aris Daniilidis

  32. Subdifferential characterization of approximate convexity: the lower semicontinuous case

    Article • Mathematical Programming, April 2007, Springer Science + Business Media

    Aris Daniilidis

  33. Some Remarks on the Class of Continuous (Semi-) Strictly Quasiconvex Functions

    Article • Journal of Optimization Theory and Applications, April 2007, Springer Science + Business Media

    Aris Daniilidis

  34. Clarke Subgradients of Stratifiable Functions

    Article • SIAM Journal on Optimization, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Aris Daniilidis

  35. The Łojasiewicz Inequality for Nonsmooth Subanalytic Functions with Applications to Subgradient Dynamical Systems

    Article • SIAM Journal on Optimization, January 2007, Society for Industrial & Applied Mathematics (SIAM)

    Aris Daniilidis

  36. Geometrical interpretation of the predictor-corrector type algorithms in structured optimization problems

    Article • Optimization, October 2006, Taylor & Francis

    Aris Daniilidis

  37. A nonsmooth Morse–Sard theorem for subanalytic functions

    Article • Journal of Mathematical Analysis and Applications, September 2006, Elsevier

    Aris Daniilidis

  38. On the equivalence between complementarity systems, projected systems and differential inclusions

    Article • Systems & Control Letters, January 2006, Elsevier

    Aris Daniilidis

  39. On a primal-proximal heuristic in discrete optimization

    Article • Mathematical Programming, March 2005, Springer Science + Business Media

    Aris Daniilidis

  40. Clarke critical values of subanalytic Lipschitz continuous functions

    Article • Annales Polonici Mathematici, January 2005, Institute of Mathematics, Polish Academy of Sciences

    Aris Daniilidis

  41. Subsmooth sets: Functional characterizations and related concepts

    Article • Transactions of the American Mathematical Society, November 2004, American Mathematical Society (AMS)

    Aris Daniilidis

  42. Cyclic Hypomonotonicity, Cyclic Submonotonicity, and Integration

    Article • Journal of Optimization Theory and Applications, July 2004, Springer Science + Business Media

    Aris Daniilidis

  43. Approximate convexity and submonotonicity

    Article • Journal of Mathematical Analysis and Applications, March 2004, Elsevier

    Aris Daniilidis

  44. Integration of multivalued operators and cyclic submonotonicity

    Article • Transactions of the American Mathematical Society, September 2002, American Mathematical Society (AMS)

    Aris Daniilidis

  45. Characterizations of evenly convex sets and evenly quasiconvex functions

    Article • Journal of Mathematical Analysis and Applications, September 2002, Elsevier

    Professor Juan Enrique Martínez-Legaz, Aris Daniilidis

  46. Integration of Fenchel Subdifferentials of Epi-Pointed Functions

    Article • SIAM Journal on Optimization, January 2002, Society for Industrial & Applied Mathematics (SIAM)

    Aris Daniilidis

  47. Article • Set-Valued Analysis, January 2002, Springer Science + Business Media

    Aris Daniilidis

  48. Normal Cones to Sublevel Sets: An Axiomatic Approach

    Article • January 2001, Springer Science + Business Media

    Aris Daniilidis

  49. A dual characterisation of the Radon-Nikodym property

    Article • Bulletin of the Australian Mathematical Society, December 2000, Cambridge University Press

    Aris Daniilidis

  50. On generalized cyclically monotone operators and proper quasimonotonictty

    Article • Optimization, January 2000, Taylor & Francis

    Aris Daniilidis

  51. Article • Set-Valued Analysis, January 2000, Springer Science + Business Media

    Aris Daniilidis

  52. Coercivity conditions and variational inequalities

    Article • Mathematical Programming, November 1999, Springer Science + Business Media

    Aris Daniilidis

  53. Characterization of Nonsmooth Semistrictly Quasiconvex and Strictly Quasiconvex Functions

    Article • Journal of Optimization Theory and Applications, September 1999, Springer Science + Business Media

    Aris Daniilidis

  54. On the Subdifferentials of Quasiconvex and Pseudoconvex Functions and Cyclic Monotonicity

    Article • Journal of Mathematical Analysis and Applications, September 1999, Elsevier

    Aris Daniilidis

  55. Connectedness of the Efficient Set for Three-Objective Quasiconcave Maximization Problems

    Article • Journal of Optimization Theory and Applications, June 1997, Springer Science + Business Media

    Aris Daniilidis