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We present high resolution millimeter continuum ALMA observations of thedisks around the T Tauri stars LkCa 15 and J1610. These disks hostdust-depleted inner regions, possibly carved by massive planets, and are ofprime interest to study the imprints of planet-disk interactions. While atmoderate angular resolution they appear as a broad ring surrounding a cavity,the continuum emission resolves into multiple rings at a resolution of~60$\times$40 mas (~7.5 au for LkCa 15, ~6 au for J1610) and ~$7\,\mu$Jybeam$^{-1}$ rms at 1.3 mm. In addition to a broad extended component, LkCa 15and J1610 host 3 and 2 narrow rings, respectively, with two bright rings inLkCa 15 being radially resolved. The rings look marginally optically thick,with peak optical depths of ~0.5 (neglecting scattering), in agreement withhigh angular resolution observations of full disks. We perform hydrodynamicalsimulations with an embedded, sub-Jovian-mass planet and show that the observedmulti-ringed substructure can be qualitatively explained as the outcome of theplanet-disk interaction. We note however that the choice of the disk coolingtimescale alone can significantly impact the resulting gas and dustdistributions around the planet, leading to different numbers of rings and gapsand different spacings between them. We propose that the massive outer diskregions of transition disks are favorable places for planetesimals and possiblysecond generation planet formation of objects with a lower mass than theplanets carving the inner cavity (typically few $M_{\rm Jup}$), and that theannular substructures observed in LkCa 15 and J1610 may be indicative ofplanetary core formation within dust-rich pressure traps. Current observationsare compatible with other mechanisms being at the origin of the observedsubstructures, in particular with narrow rings generated at the edge of the COand N$_2$ snowlines.

Annular substructures in the transition disks around LkCa 15 and J1610