clopen.solutions

Open problems

980 registered problems.

OP-00037 Open
The Balan–Wang conjecture on the stability of real phase retrieval
FA · frames · phase retrieval · Randomstrasse101 · stability
OP-00060 Solution claimed
The value of ω(A) for Gaussian matrices in real phase retrieval
PR · phase retrieval · random matrices · Randomstrasse101 · stability
OP-00436 Open
Balanced Gaussian simplex noise stability for four or more classes
PR · AIM Open Applied Problems · Gaussian partitions · noise stability
OP-00490 Solution claimed
Continuity of states driven by bounded admissible inputs
OC · admissible control operators · AIM Open Applied Problems · input-to-state stability · operator semigroups
OP-00495 Solution claimed
Decidability of local asymptotic stability for polynomial ODEs
DS · AIM Open Applied Problems · asymptotic stability · decidability · polynomial vector fields
OP-00518 Open
Irrational ellipticity when a convex energy surface has finitely many orbits
DS · AIM Open Applied Problems · closed characteristics · convex hypersurfaces · linear stability
OP-00632 Open
Asymptotic stability of the phi-four kink without odd symmetry
AP · AIM Open Applied Problems · asymptotic stability · kinks · scalar field equations
OP-00643 Open
Nonlinear orbital stability of small solitary gravity waves
AP · AIM Open Applied Problems · orbital stability · solitary waves · water waves
OP-00694 Solution claimed
Global attraction in D-stable Lotka–Volterra systems
DS · AIM Open Applied Problems · D-stability · global stability · Lotka-Volterra systems
OP-00755 Solution claimed
Universality of the interleaving distance over arbitrary fields
AT · AIM Open Applied Problems · interleaving distance · multiparameter persistence · stability