Cal. CCP § 1319

Except as otherwise provided in Section 1318, all rents, interest, dividends or other income or increment derived from real or personal property received and held by the State in the name of the Unclaimed Property Fund under the provisions of this title shall, on order of the Controller, be deposited in the Unclaimed Property Fund, and shall be credited by the Controller to the account maintained by him, in the name of which such property is accounted, as provided in Chapter 2. Any moneys deposited in the Unclaimed Property Fund under the provisions of this section shall be held for the benefit of the person or persons entitled to the property from which such moneys were derived, or their successors in interest; and shall be subject to claim in the same manner as such property may be claimed; but the period in which such moneys shall be available for claim by and payment to the person or persons entitled thereto shall not extend beyond the period in which the property from which such moneys were derived is available for claim and payment under the provisions of this title.