Wissenschaftliche Artikel

Daniilidis, A., & Quincampoix, M. (2024). Extending the Rademacher Theorem to Set-Valued Maps. SIAM Journal on Optimization, 34(2), 1784–1798. https://doi.org/10.1137/22M1538831 ( reposiTUm)
Daniilidis, A., Miclo, L., & Salas, D. (2024). Descent modulus and applications. Journal of Functional Analysis, 287. https://doi.org/10.1016/j.jfa.2024.110626 ( reposiTUm)
Daniilidis, A., & Salas, D. (2024). Steepest Geometric Descent for Regularized Quasiconvex Functions. Set-Valued and Variational Analysis, 32(3), Article 28. https://doi.org/10.1007/s11228-024-00731-5 ( reposiTUm)
Daniilidis, A., Le, M. T., & Salas, D. (2024). Metric compatibility and determination in complete metric spaces. Mathematische Zeitschrift, 308(4), Article 62. https://doi.org/10.1007/s00209-024-03609-2 ( reposiTUm)
Daniilidis, A., Deville, R., & Tapia-García, S. (2024). All convex bodies are in the subdifferential of some everywhere differentiable locally Lipschitz function. Proceedings of the London Mathematical Society, 129(5), Article e70007. https://doi.org/10.1112/plms.70007 ( reposiTUm)
Daniilidis, A., Salas, D., & Tapia-García, S. (2024). A slope generalization of Attouch theorem. Mathematical Programming, Series A. https://doi.org/10.1007/s10107-024-02108-w ( reposiTUm)
Daniilidis, A., & Tapia Garcia, S. (2023). Oriented Calmness and Sweeping Process Dynamics. Mathematics of Operations Research. https://doi.org/10.1287/moor.2021.0269 ( reposiTUm)
Daniilidis, A., & Drusvyatskiy, D. (2023). The slope robustly determines convex functions. Proceedings of the American Mathematical Society, 151(11), 4751–4756. https://doi.org/10.1090/proc/16503 ( reposiTUm)
Mohammed Bachir, & Daniilidis, A. (2023). Trace Convexity and Choquet Theory. HOUSTON JOURNAL OF MATHEMATICS, 49(2), 247–282. ( reposiTUm)
Daniilidis, A., Haddou, M., & Ley, O. (2022). A convex function satisfying the Łojasiewicz inequality but failing the gradient conjecture both at zero and infinity. Bulletin of the London Mathematical Society, 54(2), 590–608. https://doi.org/10.1112/blms.12586 ( reposiTUm)
Daniilidis, A., & Salas, D. (2022). A determination theorem in terms of the metric slope. Proceedings of the American Mathematical Society, 150(10), 4325–4333. https://doi.org/10.1090/proc/15958 ( reposiTUm)

Beiträge in Tagungsbänden

Daniilidis, A. (2024). Differentiable Lipschitz functions can be highly pathological. In "77th VARIATIONAL ANALYSIS AND APPLICATIONS”  ABSTRACTS OF LECTURES AND SHORT COMMUNICATIONS (pp. 7–7). ( reposiTUm)
Daniilidis, A. (2024). Subdifferential remoteness, Metric Slopes and Abstract Descent operators. In International Centre for Scientific Culture “E. Majorana” School of Mathematics “G. Stampacchia” (Ed.), Advances in Nonlinear Analysis and Optimization: Book of Abstracts (pp. 7–8). ( reposiTUm)
Daniilidis, A. (2024). Many functions are completely determined by their slope and their critical values. In Nonlinear Partial Differential Equations in Salzburg 2024: Book of Abstracts (pp. 5–5). ( reposiTUm)
Daniilidis, A. (2024). Unilateral analysis, orientation and determination. In French-German-Spanish Conference on Optimization (Ed.), FGS 2024: French-German-Spanish Conference on Optimization: Book of Abstracts (pp. 29–29). 2024 Universidad de Oviedo. http://hdl.handle.net/20.500.12708/200867 ( reposiTUm)
Daniilidis, A. (2024). The role of asymmetry in applied analysis. In International Workshop Variational Analysis and Optimization II Book of Abstracts (pp. 5–5). ( reposiTUm)
Daniilidis, A., Ley, O., & Haddou, M. (2023). A convex function satisfying the Lojasiewicz inequality but failing the gradient conjecture both at zero and infinity. In VII Latin American Workshop on Optimization and Control  LAWOC 2022 - Conference’s Book (pp. 13–13). ( reposiTUm)

Präsentationen

Daniilidis, A. (2024, January 18). The use of slopes in convex and nonsmooth analysis [Presentation]. Wissenschaftliches Seminar aus Bildverarbeitung und Inverse Probleme, Graz, Austria. ( reposiTUm)
Daniilidis, A. (2024, March 18). Descent operators in convex and nonsmooth analysis [Presentation]. OptAzur, Nice, France. ( reposiTUm)
Daniilidis, A. (2024, April 17). Slope determination: from convex to Lipschitz continuous functions [Presentation]. NCSU Differential Equations/Nonlinear Analysis Seminar, Raleigh, North Carolina, United States of America (the). ( reposiTUm)
Le, M. T., Daniilidis, A., & Venegas, F. (2024, November 8). Absolutely minimal Lipschitz extensions related to asymmetric distances [Conference Presentation]. 4th Austrian  Calculus of Variations Day, Innsbruck, Austria. ( reposiTUm)
Daniilidis, A. (2024, October 29). Sensitivity analysis of convex functions [Conference Presentation]. Research Workshop on Control and Optimization 2024, Haifa, Israel. http://hdl.handle.net/20.500.12708/206133 ( reposiTUm)
Daniilidis, A., Tapia Garcia, S., Aubin, P.-C., Le, M. T., & Tragler, G. (2024, April 24). VADOR Team Presentation [Presentation]. Get to Know E105.04 VADOR, Wien, Austria. ( reposiTUm)
Filzmoser, P., Eisenberg, J., Daniilidis, A., & Toninelli, F. L. (2024, January 17). Institute of Statistics and Mathematical Methods in Economics [Presentation]. Präsentation an der Fakultät, Wien, Austria. ( reposiTUm)
Daniilidis, A. (2023, July 17). Applications of semialgebraic geometry in variational analysis [Conference Presentation]. Dynamical systems and Semi-Algebraic Geometry: Interactions with Optimization and Deep Learning, Conference 2023, Dalat, Viet Nam. ( reposiTUm)
Daniilidis, A. (2023, September 21). Asymmetric free spaces and canonical asymmetrizations [Conference Presentation]. ÆSY TO DEFINE, HARD TO ANALYSE : FIRST CONFERENCE ON LIPSCHITZ FREE SPACES, Besancon, France. ( reposiTUm)
Daniilidis, A. (2023, July 3). Determination of functions by Metric Slopes [Presentation]. 16-th International Workshop on Well-posedness of Optimization Problems  and Related Topics, Borovets, Bulgaria. ( reposiTUm)
Daniilidis, A. (2023, July 13). Slope determination and sensitivity for convex functions [Conference Presentation]. International Conference on Optimization and Variational Analysis with Applications 2023 (ICOVAA-2023), Hanoi, Viet Nam. ( reposiTUm)
Daniilidis, A. (2023, June 28). Determination of functions by Metric Slopes [Conference Presentation]. Nonsmooth And Variational AnaLysis (NAVAL) 2023, Dijon, France. ( reposiTUm)
Daniilidis, A. (2023, September 14). Using slopes to determine continuous functions in metric spaces [Conference Presentation]. International VAO2023, Messina, Italy. ( reposiTUm)
Daniilidis, A. (2022, October 22). Determination of functions by metric slopes [Presentation]. XI international Seminar on Optimization and Variational Analysis, Alicante, Spain. ( reposiTUm)
Daniilidis, A. (2022, October 13). Descent modulus and function determination [Presentation]. Optimization Methods in Acoustics, Wien, Austria. ( reposiTUm)
Daniilidis, A. (2022, November 29). Détermination de fonctions par le module de dérivée [Presentation]. Seminar on Analysis, Université de Brest, France. ( reposiTUm)
Daniilidis, A. (2022, November 17). Kurdyka-Lojasiewiecz inequality in Variational Analysis [Presentation]. 2nd Austrian Calulus of Variations Day, Salzburg, Austria. ( reposiTUm)
Daniilidis, A. (2022, August 9). Determining a function via the modulus of its derivative [Presentation]. Modern Nonsmooth Optimization - A Workshop in honor of the 60th Birthday of Adrian Lewis, University of Washington, Seattle, United States of America (the). ( reposiTUm)
Daniilidis, A. (2022, June 16). Many functions are uniquely determined by their  metric slope and their critical values [Presentation]. Advances in Calculus of Variations, Napoli, Italy. ( reposiTUm)

Preprints

Daniilidis, A., De Bernardi, C. A., & Miglierina, E. (2024). ABB Theorems: results and limitations in infinite dimensions. arXiv. https://doi.org/10.48550/arXiv.2407.10509 ( reposiTUm)
Daniilidis, A., Haddou, M., Le, M. T., & Ley, O. (2024). Solving Nonlinear Absolute Value Equations. arXiv. http://hdl.handle.net/20.500.12708/204031 ( reposiTUm)
Daniilidis, A., Le, M. T., & Venegas, F. (2024). Absolutely minimal semi–Lipschitz extensions. HAL (open archive). http://hdl.handle.net/20.500.12708/205357 ( reposiTUm)
Daniilidis, A., Garrido, M., Espinoza Jaramillo, J. A., & Tapia Garcia, S. (2024). Horofunction Extension and Metric Compactification. HAL (open archive). http://hdl.handle.net/20.500.12708/207905 ( reposiTUm)
Daniilidis, A., Le, M. T., & Salas, D. (2023). Metric compatibility and determination incomplete metric spaces. arXiv. https://doi.org/10.48550/arXiv.2308.14877 ( reposiTUm)
Daniilidis, A., Salas, D., & Tapia Garcia, S. (2023). A slope generalization of Attouch theorem. arXiv. https://doi.org/10.48550/arXiv.2311.10849 ( reposiTUm)
Daniilidis, A., & Salas, D. (2023). Steepest geometric descent for regularized quasiconvex functions. arXiv. https://doi.org/10.48550/arXiv.2310.01364 ( reposiTUm)