Geodesic
Multiplicities of Maxwell sets of Pham singularities
Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 73-76

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A two-sided estimate of local multiplicities of Maxwell sets of isolated singularities of smooth functions is proved. This estimate is sharp for semi-homogeneous functions.
Keywords: Maxwell set, caustic, isolated singularity. 
@article{FAA_2016_50_3_a5,
     author = {V. A. Vassiliev},
     title = {Multiplicities of {Maxwell} sets of {Pham} singularities},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {73--76},
     publisher = {mathdoc},
     volume = {50},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a5/}
}
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V. A. Vassiliev. Multiplicities of Maxwell sets of Pham singularities. Funkcionalʹnyj analiz i ego priloženiâ, Tome 50 (2016) no. 3, pp. 73-76. http://geodesic.mathdoc.fr/item/FAA_2016_50_3_a5/